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automorphism group; genus 2 surface; real algebraic curves root systems; connected reductive algebraic group; projective variety; Borel subgroups; line bundles; orbits; tangent bundle; Weyl group; maximal tori; \(\ell\)-adic cohomology groups; virtual representation; characters; irreducible representations; multiplicities; irreducible components; intersection cohomology; Schubert cells; Weyl groups; Hecke algebras; enveloping algebras; complex reductive Lie algebras; unipotent representations
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automorphism group; genus 2 surface; real algebraic curves graphic arc; embedding graphic arcs in algebraic plane curves
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automorphism group; genus 2 surface; real algebraic curves exceptional coherent sheaf on algebraic surface; stability; Pic; surgery; helixes
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automorphism group; genus 2 surface; real algebraic curves algebraic cellular automaton; complete algebraic variety; projective algebraic variety; amenable group; Krull dimension; algebraic mean dimension; preinjectivity; Garden of Eden theorem
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automorphism group; genus 2 surface; real algebraic curves arithmetic site; monoid; topos; topos automorphism; Adele ring; topos-theoretic point; torsion-free abelian group; zeta function; Goormaghtigh conjecture
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automorphism group; genus 2 surface; real algebraic curves group of rational points; reductive connected algebraic group; irreducible characters; unipotent elements; class functions; orthonormal bases; characteristic functions; irreducible perverse sheaves; character sheaves; local intersection cohomology; principal series representation; Green functions; unipotent representations
0
automorphism group; genus 2 surface; real algebraic curves Algebraic curves; polars; tangents and double tangents
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automorphism group; genus 2 surface; real algebraic curves rational points of algebraic curves; theorem of Mordell-Weil; effectivity; Diophantine approximation
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automorphism group; genus 2 surface; real algebraic curves framed bundle; moduli space; automorphism group; Higgs bundle
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automorphism group; genus 2 surface; real algebraic curves genus 3 curves; plane quartics; moduli; families; enumeration; finite fields
0
automorphism group; genus 2 surface; real algebraic curves decidability; Hilbert's Tenth Problem; uncomputably large integral points on algebraic curves; diophantine prefix; polynomials; height bounds; geometry of complex surfaces and 3-folds
0
automorphism group; genus 2 surface; real algebraic curves moduli space of curves of genus \(g\); Hodge integrals; Virasoro constraint; loop equation
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automorphism group; genus 2 surface; real algebraic curves presentation; fundamental group; real conic-line arrangement.
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automorphism group; genus 2 surface; real algebraic curves fundamental group; holomorphic sections; Riemann surface; Riemann-Roch number; Riemann-Roch theorem; Verlinde formula
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automorphism group; genus 2 surface; real algebraic curves uniform position lemma; curves embedded in projective space; degree; genus
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automorphism group; genus 2 surface; real algebraic curves systems of curves; algebraic differential equations
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automorphism group; genus 2 surface; real algebraic curves elliptic curves with complex multiplication; curves of genus 2; Jacobians; product surfaces; abelian variety; Humbert invariant; binary and ternary quadratic forms; idoneal numbers; mass formula
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automorphism group; genus 2 surface; real algebraic curves algebraic groups; adjoint groups; R-equivalence; nondyadic local fields; function fields of curves; algebras with involution; Hermitian forms; Rost invariant
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automorphism group; genus 2 surface; real algebraic curves algebraic cycles; standard conjecture; Chow group
0
automorphism group; genus 2 surface; real algebraic curves Picard group; normal surface
0
automorphism group; genus 2 surface; real algebraic curves textbook (algebraic geometry); schemes and morphisms; prevarieties; quasi-coherent sheaves; vector bundles; divisors; algebraic curves; determinantal varieties; singularities
0
automorphism group; genus 2 surface; real algebraic curves finite fields; \((\mathbb F_q,\mathbb F_p)\)-polynomial; algebraic curves; rational points
0
automorphism group; genus 2 surface; real algebraic curves mapping from a real algebraic set; semialgebraic set
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automorphism group; genus 2 surface; real algebraic curves polynomial map; genus 2 surface
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automorphism group; genus 2 surface; real algebraic curves real curve; real theta characteristic; automorphism
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automorphism group; genus 2 surface; real algebraic curves moduli spaces of algebraic curves; Betti numbers; dessins d'enfants
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automorphism group; genus 2 surface; real algebraic curves numerical character; degree; maximal genus for space curves; postulation
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automorphism group; genus 2 surface; real algebraic curves \(p\)-adic \(L\)-functions; elliptic curves; rational points; cyclotomic characters; interpolation; projective limit of the group of global units; \(p\)-adic height
0
automorphism group; genus 2 surface; real algebraic curves real space curves; real nodes; Castelnuovo bound; JFM 48.0687.01; JFM 48.0729.02
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automorphism group; genus 2 surface; real algebraic curves moduli; geometric genus; minimal surface of general type; irregularity; Castelnuovo's bound
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automorphism group; genus 2 surface; real algebraic curves Moduli space; Riemann surface; Fuchsian group; strata of Riemann surfaces
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automorphism group; genus 2 surface; real algebraic curves connected, reductive algebraic group; algebraic variety; moment map; cotangent bundle; finite cristallographic reflection group; little Weyl group; symmetric space; unipotent subgroup; stabilizer; action
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automorphism group; genus 2 surface; real algebraic curves space curve on a smooth cubic surface; maximal rank curves; extremal curves; Hilbert function
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automorphism group; genus 2 surface; real algebraic curves hyperbolic fibre space; higher dimensional analogue of Mordell's conjecture for curves; hyperbolic manifolds; algebraic families of hyperbolic varieties; Mordell's conjecture over function fields
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automorphism group; genus 2 surface; real algebraic curves surface singularity; deformation; modality; pluri-genus; Milnor number; Tjurina number
0
automorphism group; genus 2 surface; real algebraic curves curve; variety; genus; singularity; dimension; rational function; tangent space; surface; birational equivalence
0
automorphism group; genus 2 surface; real algebraic curves tropical curves; real rational curves; enumerative geometry; Welschinger invariants; Caporaso-Harris formula
0
automorphism group; genus 2 surface; real algebraic curves QRT maps; genus of curves; dynamical systems
0
automorphism group; genus 2 surface; real algebraic curves rational function field; automorphism group; Ree group; Hasse-Weil bound
0
automorphism group; genus 2 surface; real algebraic curves split octonion algebra; automorphism group; Lie group of type \(G_2\); symmetric rooms; Bruhat-Tits buildings; standard apartment; Arakelov bundles; invariant flag
0
automorphism group; genus 2 surface; real algebraic curves Abelian surfaces; Complex multiplication; Genus 2 curves
0
automorphism group; genus 2 surface; real algebraic curves Hitchin systems; gluing subschemes; integrable systems; singular algebraic curves; \(r\)-matrix
0
automorphism group; genus 2 surface; real algebraic curves automorphism group; Galois point; icosahedral group; plane curve
0
automorphism group; genus 2 surface; real algebraic curves non commutative algebraic geometry; surface; blow up; graded algebras of Gelfand-Kirillov dimension three; Abelian categories; Rees algebra; pseudo-compact rings; completion functors; derived categories; Del Pezzo surfaces; quantum version of projective three space
0
automorphism group; genus 2 surface; real algebraic curves algebraic function field; Hasse-Witt invariants; Deuring-Shafarevich formula; Galois group; maximal unramified p-extension; p-profinite completion
0
automorphism group; genus 2 surface; real algebraic curves arithmetic function; number of factorizations of an integer; group of rational points; elliptic curves
0
automorphism group; genus 2 surface; real algebraic curves algebraic groups; anisotropic groups; projective spaces; simple connected groups; Zariski topology; maximal torus; root system; group schemes
0
automorphism group; genus 2 surface; real algebraic curves algebraic curves; special linear series; Brill-Noether theory
0
automorphism group; genus 2 surface; real algebraic curves \(K3\) surface; non-symplectic automorphism
0
automorphism group; genus 2 surface; real algebraic curves algebraic geometry textbook; algebraic variety; cohomology; plane curves; local theory
0
automorphism group; genus 2 surface; real algebraic curves connection; relative moduli spaces; vanishing curvature; fundamental group of the Riemann surface
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automorphism group; genus 2 surface; real algebraic curves CAS and DGS networking; envelopes; offsets; algebraic curves; Talbot curves
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automorphism group; genus 2 surface; real algebraic curves algebraic cycles; variation of Hodge structure; Noether-Lefschetz locus; Lefschetz degenerations; Chow group; Griffiths group; non-rigid Calabi- Yau threefolds
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automorphism group; genus 2 surface; real algebraic curves semi-algebraic sets; real algebraic varieties; rational points; generalized Teichmüller space; moduli of compact Riemann surfaces; Fricke moduli
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automorphism group; genus 2 surface; real algebraic curves curves of genus two; Jacobians; rational torsion subgroup; elliptic curves; table of groups
0
automorphism group; genus 2 surface; real algebraic curves Hassett-Keel program; genus 4 curves; ball quotients
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automorphism group; genus 2 surface; real algebraic curves automorphism; semi-abelian variety; group action; logarithmic Kodaira dimension
0
automorphism group; genus 2 surface; real algebraic curves twists of curves; plane quartic curves; automorphism groups; Fermat quartic; Klein quartic
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automorphism group; genus 2 surface; real algebraic curves specialization map; stratified bundles; pro-étale fundamental group; semi-stable curves; Tannakian categories
0
automorphism group; genus 2 surface; real algebraic curves \(p\)-adic Birch-Swinnerton-Dyer conjecture; \(p\)-adic \(L\)-function; elliptic curves; Selmer group
0
automorphism group; genus 2 surface; real algebraic curves finite-dimensional vector space; class; finite group; composition series; alternative groups; groups of Lie type; simple groups; algebra of invariant polynomial functions; semisimple algebraic group; Weyl group
0
automorphism group; genus 2 surface; real algebraic curves low genus curves; pencils
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automorphism group; genus 2 surface; real algebraic curves Abelian varieties; genus 2 curves; \(L\)-functions; Artin representations
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automorphism group; genus 2 surface; real algebraic curves real algebraic curve; pseudoholomorphic curve; \(M\)-curve; oval; isotopy
0
automorphism group; genus 2 surface; real algebraic curves difference field; abelian variety; theory ACFA; group definable in a model; model theoretic stability; 1-basedness; Manin-Mumford conjecture; model companion of the theory of fields with an automorphism
0
automorphism group; genus 2 surface; real algebraic curves algebraic cohomology; realizable by an algebraic subvariety; blow-up; blow-down; modification; real toric varieties
0
automorphism group; genus 2 surface; real algebraic curves moduli space of curves; mapping class group; classifying spaces; thom spectra.
0
automorphism group; genus 2 surface; real algebraic curves elliptic curves; genus-one curves; minimisation; reduction; descent
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automorphism group; genus 2 surface; real algebraic curves reductive algebraic group; Borel subgroup; weight; module; orbit
0
automorphism group; genus 2 surface; real algebraic curves Grassmannian variety; quadric fibration over a smooth curve; Castelnuovo's bound for the genus of projective curves
0
automorphism group; genus 2 surface; real algebraic curves real Johnson-Wilson theories; Lubin-Tate spaces; topological modular forms; algebraic stacks; spectra; equivariant spectra
0
automorphism group; genus 2 surface; real algebraic curves equivariant polynomial morphism; algebraic group
0
automorphism group; genus 2 surface; real algebraic curves Hasse-Weil bound; trace code; Hamming weight; algebraic curves over finite fields of characteristic 2; number of points
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automorphism group; genus 2 surface; real algebraic curves Lie algebra; polynomial identity; derivation; Hopf algebra; \(H\)-module algebra; codimension; cocharacter; Young diagram; affine algebraic group
0
automorphism group; genus 2 surface; real algebraic curves algebraic group schemes; non-reduced group schemes; minimal splitting fields; Galois groups; coordinate rings; groups of rational characters; maximal tori; connected unipotent groups; products of reductions
0
automorphism group; genus 2 surface; real algebraic curves Algebraic curves
0
automorphism group; genus 2 surface; real algebraic curves local-global principle; zero-cycle; ruled surface; Brauer-Manin obstruction; Brauer group; Chow group; Hasse principle
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automorphism group; genus 2 surface; real algebraic curves bundle (=pencil) of plane algebraic curves; bundle (=pencil) of conics; cyclic points at infinity; bundle (=pencil) of circles; theorem of the three conics
0
automorphism group; genus 2 surface; real algebraic curves real algebraic sets; algebraic cohomology classes; algebraic models
0
automorphism group; genus 2 surface; real algebraic curves projective transformation; symmetry; rational curve; rational ruled surface; algebraic surface
0
automorphism group; genus 2 surface; real algebraic curves zeta function; trinomial curves; maximal curve; genus
0
automorphism group; genus 2 surface; real algebraic curves brief survey; Mordell-Weil group; elliptic curves
0
automorphism group; genus 2 surface; real algebraic curves open del Pezzo surface of degree 4; algebraic Brauer class; restriction; corestriction; non-cyclic Brauer class; explicit evaluation of Brauer classes
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automorphism group; genus 2 surface; real algebraic curves hyperbolicity; entire holomorphic curves; complex algebraic surfces; holomorphic foliations; hyperbolic variety
0
automorphism group; genus 2 surface; real algebraic curves monoidal transformation of the complex projective plane; Néron-Severi group; effective divisor; exceptional curves
0
automorphism group; genus 2 surface; real algebraic curves reductive algebraic group; Borel subgroup; multiple flag variety of finite type; quiver representations
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automorphism group; genus 2 surface; real algebraic curves complex suspension theorem; Lawson homology; generalized cycle map; joins of algebraic cycles; integral currents; Thom isomorphisms; generalized flag varieties; compact hermitian symmetric spaces; reductive group action
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automorphism group; genus 2 surface; real algebraic curves closed subgroups of linear algebraic reductive group
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automorphism group; genus 2 surface; real algebraic curves complex manifolds; Kähler manifolds; complex algebraic varieties; algebraic curves; Riemann surfaces; algebraic surfaces; Hodge theory
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automorphism group; genus 2 surface; real algebraic curves algebraic function fields; valuation; value group; rank; direct sum of n infinite cyclic groups
0
automorphism group; genus 2 surface; real algebraic curves pro-algebraic completion; Kähler group; differential graded algebra
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automorphism group; genus 2 surface; real algebraic curves Fano-Mukai fourfold; automorphism group; cubic scroll
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automorphism group; genus 2 surface; real algebraic curves Verma module; weight; modules of sections; theorem of Beilinson- Bernstein; algebraic group; category of \({\mathcal D}_ \lambda\)-modules
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automorphism group; genus 2 surface; real algebraic curves parametrization; approximate algebraic geometry; approximate algorithm; offset surface; algebraic surface; computer aided geometric design; numerical examples; error analysis
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automorphism group; genus 2 surface; real algebraic curves abstract complete intersection; algebraic complete intersection; affine model; real curve
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automorphism group; genus 2 surface; real algebraic curves Moduli spaces; curves with group action; inverse Galois theory
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automorphism group; genus 2 surface; real algebraic curves moduli problems of real algebraic geometry; Torelli mapping; principally polarized real abelian varieties
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automorphism group; genus 2 surface; real algebraic curves extremal elliptic K3 surface; Picard number; Mordell-Weil group
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automorphism group; genus 2 surface; real algebraic curves fundamental group; conjugate variety; homogeneous space; linear algebraic group
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automorphism group; genus 2 surface; real algebraic curves affine space; automorphism group; centralizer; toric geometry
0