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abelian surface; good reduction of curves algebraic surface in projective space; function fields of surfaces; subfields of function fields of algebraic surfaces; dominant rational maps; plane curves | 0 |
abelian surface; good reduction of curves \(K3\) surface; finite abelian group; abelian cover of a smooth rational surface | 0 |
abelian surface; good reduction of curves abelian variety; function fields of curves; heights; Néron model | 0 |
abelian surface; good reduction of curves control theorems; Shimura-Taniyama-Weil conjecture; elliptic curve; modular curve; deformation rings; Hecke algebras; modular Galois representations; moduli spaces of elliptic curves; modular forms; Abelian \(\mathbb{Q}\)-curves | 0 |
abelian surface; good reduction of curves stable vector bundle; semistable vector bundle; Riemann surface; \(\tau\)-stability; stable pairs; moment map; Harder-Narasimhan filtration; quasi-free \(U(1)\) action; vortex equation; moduli spaces of stable vector bundles on curves; moduli spaces of stable pairs on Riemann surfaces | 0 |
abelian surface; good reduction of curves sigma functions; compact Riemann surface of genus; canonical form for algebraic curves introduced by Miura; \((n; s)-\)curves; telescopic curves | 0 |
abelian surface; good reduction of curves arc structure of singularities; smooth curves on a surface singularity; generic hyperplane section; infinitely near points | 0 |
abelian surface; good reduction of curves elliptic curves with everywhere good reduction | 0 |
abelian surface; good reduction of curves moduli of curves; moduli of abelian varieties; prym varieties | 0 |
abelian surface; good reduction of curves ramification curve of the general projection of a smooth surface; singularities; projection of a smooth space; construct singular plane curves | 0 |
abelian surface; good reduction of curves stable surface; Gorenstein stable surface; surfaces on the Noether line; algebraic surface; plane curves; surface of general type; KSBA- compactification; moduli space of stable surfaces; degeneration of mixed Hodge structures | 0 |
abelian surface; good reduction of curves abelian variety; inertia subgroup; special fiber of the Néron model; semistable reduction | 0 |
abelian surface; good reduction of curves Néron model; weak Néron model; abelian variety; group scheme; elliptic curve; semi-stable reduction; Jacobian; group of components | 0 |
abelian surface; good reduction of curves number of rational points; Del Pezzo surface; anticanonical height; exceptional curves | 0 |
abelian surface; good reduction of curves braid monodromy factorizations; branch curves; fundamental group; invariant of a surface | 0 |
abelian surface; good reduction of curves curves on a cubic surface; number of intersections | 0 |
abelian surface; good reduction of curves compactifying (generalized) Jacobians of curves and families of curves; moduli of semistable rank-1 sheaves; semistable projetive curves; principally polarized abelian varieties | 0 |
abelian surface; good reduction of curves family of Kähler surfaces; hyperelliptic surface; Enriques surface; abelian K3 surface | 0 |
abelian surface; good reduction of curves elliptic curves; good reduction; real quadratic fields | 0 |
abelian surface; good reduction of curves classification of Hilbert-Blumenthal surface; moduli of abelian surfaces | 0 |
abelian surface; good reduction of curves Kedlaya's algorithm; Frobenius action; good reduction; cohomology group; Hodge structure; \(K3\) surface | 0 |
abelian surface; good reduction of curves arithmetic surface; Arakelov theory; discriminant; pairing on curves; intersection number of horizontal divisors; Green's functions; divisor group | 0 |
abelian surface; good reduction of curves Selmer groups; twists; abelian varieties; Jacobians of curves; hyperelliptic curves; superelliptic curves | 0 |
abelian surface; good reduction of curves curves defined over fields of formal power series; reciprocity law; bad reduction | 0 |
abelian surface; good reduction of curves elliptic curves; rank; good reduction | 0 |
abelian surface; good reduction of curves Zariski dense rational points; \(K3\) surfaces; abelian fibrations; symmetric product of a \(K3\) surface; Abelian fibration | 0 |
abelian surface; good reduction of curves Normal surface singularity; pencil genus; pencil of curves; weakly Kodaira singularity | 0 |
abelian surface; good reduction of curves germs of curves; rational surface singularity; equisingularity; infinitely near points | 0 |
abelian surface; good reduction of curves irrationality of surface; large Chern class; good cohomology; moduli space; irregularity | 0 |
abelian surface; good reduction of curves elliptic normal curves; irregular surfaces in \(\mathbb{P}^4\); Hartshorne-Rao modules; Heisenberg modules; Moore matrices; syzygies of bielliptic surfaces; abelian surfaces; liaison; elliptic scrolls | 0 |
abelian surface; good reduction of curves hyperkähler variety; Calabi-Yau variety; arithmetic model; Brauer group; Artin's conjecture; \(K3\)-surface; abelian surface; Hilbert scheme of points; generalized Kummer variety; Hilbert modular surface | 0 |
abelian surface; good reduction of curves Fermat curves; periods of abelian varieties with complex multiplication; \(p\)-adic periods; abelian varieties with complex multiplication; heights; Chowla-Selberg formula | 0 |
abelian surface; good reduction of curves cyclic coverings of a curve; abelian surface; very ample line bundle; Horrocks-Mumford bundle | 0 |
abelian surface; good reduction of curves abelian varieties of Kuga's type; zeta functions; absolute Hodge cycles; product of two Shimura curves | 0 |
abelian surface; good reduction of curves density of subvarieties; product of elliptic curves; moduli space; principally polarized abelian varieties; codimension | 0 |
abelian surface; good reduction of curves Weierstrass semigroup; double cover of a curve; rational ruled surface Plane curves of degree 4 | 0 |
abelian surface; good reduction of curves stable vector bundle; Hermitian-Einstein equations; vector bundle on a Riemann surface; equivariant stable bundle; vortex equation; Hitchin-Kobayashi correspondence; stable triples of holomorphic vector bundles; dimensional reduction; semistability; stability; polystable holomorphic vector bundle | 0 |
abelian surface; good reduction of curves Chern class; Hodge bundle; moduli spaces of principally polarized abelian varieties; moduli space of curves with a level two structure; theta characteristic; Weierstrass points | 0 |
abelian surface; good reduction of curves arithmetic dynamics; moduli space of rational maps; good reduction | 0 |
abelian surface; good reduction of curves second Gaussian map; curves in an abelian surface; curves in a \(K3\) surface | 0 |
abelian surface; good reduction of curves rank of elliptic curves; torsion group; modular surface; elliptic | 0 |
abelian surface; good reduction of curves polarized abelian surface; hyperelliptic curves; Gromov-Witten crepant resolution conjecture | 0 |
abelian surface; good reduction of curves abelian covers of Segre-Hirzebruch surfaces; infinitesimal Torelli; abelian cover of surface; abelian covers of the projective plane | 0 |
abelian surface; good reduction of curves asymptotic interpolation measure; Lebesgue constants; Fekete points; equilibrium distributions; algebraic curves of genus \(0\); multivariate polynomial interpolation; Auerbach's theorem; piecewise conies; rational mapping; constructing good points for interpolation | 0 |
abelian surface; good reduction of curves product of elliptic curves; elliptic modular surface; resolving singularities; Picard-Fuchs equation; elliptic fibration | 0 |
abelian surface; good reduction of curves \(K3\) surface; Morgan-Shalen compactification; Gromov-Hausdorff limits; moduli space of principally polarized abelian varieties; tropical compactification | 0 |
abelian surface; good reduction of curves real fibered surface; quotient by complex conjugation; connected sum decomposition; four-manifold; topology of real algebraic curves on algebraic surfaces | 0 |
abelian surface; good reduction of curves Hasse-Weil bound; maximal curve; geometric Goppa code; asymptotically good sequence; survey; number of rational points; curves over finite fields; towers of function fields | 0 |
abelian surface; good reduction of curves number of points of intersection; space curves; ruled surface | 0 |
abelian surface; good reduction of curves hyperelliptic curve; modular invariant; moduli space of curves; semistable reduction; slope | 0 |
abelian surface; good reduction of curves embedding of abelian surface; four-dimensional product of projective spaces; surfaces in 4-dimensional spaces | 0 |
abelian surface; good reduction of curves moduli scheme of g-dimensional principally polarised abelian varieties; moduli scheme of smooth curves of genus; geodesics | 0 |
abelian surface; good reduction of curves moduli space of curves; moduli space of principally polarized abelian varieties; mapping class groups; unipotent completion; Hodge Lie algebra; presentation of nilpotent Lie algebras; classical modular forms; special values of L-functions | 0 |
abelian surface; good reduction of curves Picard modular surfaces; Shimura varieties; Fuchsian systems of partial differential equations; polarized abelian threefolds; polarized abelian variety; complex multiplication; number of cusps of a Picard surface; class number; CM fields | 0 |
abelian surface; good reduction of curves automorphism group of curve; product of projective curves; Betti numbers; diagonal quotient surface; desingularizations; Chern numbers; Enriques-Kodaira classification | 0 |
abelian surface; good reduction of curves endomorphisms of projective line; non-archimedean valuation; good reduction | 0 |
abelian surface; good reduction of curves normal surface singularities; rational singularities; elliptic singularities; \( \mathbb{Q} \)-homology spheres; geometric genus; link of singularities; divisorial filtration; Poincaré series; Seiberg-Witten invariants of 3-manifolds; Casson invariant conjecture; Seiberg-Witten invariant conjecture; Heegaard-Floer homology; graded roots; surgery 3-manifolds; unicuspidal rational projective plane curves | 0 |
abelian surface; good reduction of curves smooth rational curves on Enriques surface; characteristic p; arithmetic of the Picard lattice | 0 |
abelian surface; good reduction of curves normal surface singularities; rational surface singularities; delta invariant of curves; kappa invariant of curves; Riemann-Roch theorem | 0 |
abelian surface; good reduction of curves modular curve; abelian varieties with twist; \(X_ 0\); simple factors of the Jacobian variety; correspondence between cusp forms of weight 2 and elliptic curves; Taniyama-Weil conjecture | 0 |
abelian surface; good reduction of curves CM-field of degree 4 over \(\mathbb{Q}\); simple abelian surface; endomorphism algebra; real quadratic field; indefinite quaternion algebra; two-dimensional complex torus | 0 |
abelian surface; good reduction of curves signature; degeneration; monodromy; Riemann surface; complex surface; localization; moduli of curves | 0 |
abelian surface; good reduction of curves Riemann surfaces; parametrization of complex algebraic curves; abelian integrals; Hermite-Padé approximants | 0 |
abelian surface; good reduction of curves minimal generating set of the homogeneous ideal of integral space curve; curves on a surface; Picard groups; liaison; Mori quartic | 0 |
abelian surface; good reduction of curves curves on a surface; gauge theory; four-manifold topology; quantum field theory; moduli spaces of holomorphic vector bundles over algebraic surfaces; Donaldson invariants | 0 |
abelian surface; good reduction of curves Galois operations; moduli schemes; good reduction of the canonical model of Shimura varieties; Shimura field | 0 |
abelian surface; good reduction of curves rational surfaces; embeddings the blown up surface in some projective space; dimension of linear systems of plane curves; superabundant very ample divisors | 0 |
abelian surface; good reduction of curves moduli space for actions of abelian groups on trees of projective lines; compactifications of moduli spaces of curves | 0 |
abelian surface; good reduction of curves billiard; geodesic billiard flow; polynomial integral; algebraic Birkhoff conjecture; surface of constant curvature; singularities of algebraic curves | 0 |
abelian surface; good reduction of curves Siegel modular forms; moduli of abelian varieties; symplectic local systems; Euler characteristic; Lefschetz trace formula; Hecke operators; moduli of curves | 0 |
abelian surface; good reduction of curves Prym varieties; sum of Jacobians of nonsingular curves; Andreotti-Mayer variety; principally polarized abelian varieties; theta-divisors; rationality; intermediate Jacobian | 0 |
abelian surface; good reduction of curves Euler product; arithmetic surface; Jacobian zeta function; modular curve; survey; Dirichlet series; L-series of elliptic curves; conjecture of Birch and Swinnerton-Dyer; Hasse-Weil conjecture; analytic continuation; functional equation; Shimura-Taniyama conjecture; Serre's conjecture; modular representations | 0 |
abelian surface; good reduction of curves Picard groups; moduli spaces of curves; Abel-Jacobi mapping; family of abelian varieties; symmetric line bundle; polarization; Jacobian fibration; theta bundle | 0 |
abelian surface; good reduction of curves stable reduction of curves; completely valued fields; ultrametric valuation; topological function field; topological genus; inequalities | 0 |
abelian surface; good reduction of curves moduli of vector bundles on curves; theta divisors; generalized theta functions; Fourier-Mukai transform; non-abelian theta functions; pluri-theta line bundles; Verlinde bundles; Verlinde formula | 0 |
abelian surface; good reduction of curves upper bounds for solutions of diophantine equations; Runge theorem; finiteness of number of solutions; Brauer-Siegel theorem; Baker-Coates theory; linear forms in logarithms of algebraic numbers; \(p\)-adic case; representation of numbers by binary forms; Thue equation; rational approximations to algebraic numbers; effective strengthening of Liouville inequality; solution of Thue equation in \(S\)-integers; non-Archimedean metrics; polynomial equation; Mordell equation; Catalan equation; size of ideal class group; small regulator; effective variants of Hilbert on irreducibility of polynomials; Abelian points on algebraic curves | 0 |
abelian surface; good reduction of curves \(p\)-rank of abelian variety; Iwahori subgroup; bad reduction; moduli space; principally polarized abelian varieties; stratification | 0 |
abelian surface; good reduction of curves good minimal model; existence of lc closures; weak semi-stable reduction; existence of lc flips | 0 |
abelian surface; good reduction of curves isogeny graphs; \((\ell, \ell)\)-isogenies; principally polarised abelian varieties; Jacobians of hyperelliptic curves; lattices in symplectic spaces; orders in CM-fields | 0 |
abelian surface; good reduction of curves uniformisation; modular curves; theta constants with rational characteristics; meromorphic modular forms; principal congruence subgroup; geometry of the punctured Riemann surface; explicit constructions of covering maps | 0 |
abelian surface; good reduction of curves elliptic curves; Weierstrass models; number fields; good reduction; Shafarevich's theorem; Mordell equation; Baker's method | 0 |
abelian surface; good reduction of curves Schottky problem; moduli of algebraic curves; moduli of abelian varieties; Torelli map; coarse geometry; asymptotic cones; compactified moduli spaces | 0 |
abelian surface; good reduction of curves public key cryptography; discrete logarithm; abelian varieties over finite fields; Jacobian varieties of hyperelliptic curves; Galois theory; Weil descent; Tate duality | 0 |
abelian surface; good reduction of curves polarization divisor; moduli space of polarized abelian surface | 0 |
abelian surface; good reduction of curves good reduction; \(K3\) surface; equicharacteristic | 0 |
abelian surface; good reduction of curves existence of curves on abelian variety; product of two elliptic curves; degree of irrationality | 0 |
abelian surface; good reduction of curves moduli space of principally polarized abelian varieties of dimension 5; unirationality; Prym map; Enriques surface | 0 |
abelian surface; good reduction of curves degeneration of complex curves; Riemann surface; splitting families of degenerations | 0 |
abelian surface; good reduction of curves Higgs bundles; Riemann surfaces; Morse theory; non-abelian Hodge theory; representations of surface groups | 0 |
abelian surface; good reduction of curves curves in the unstable range; projective curves of higher genus; moduli space; cohomology; principally polarized Abelian varieties | 0 |
abelian surface; good reduction of curves higher dimensional analogues of Brauer-Siegel theorem; constant families of elliptic curves and abelian varieties; gap in proof of main theorem | 0 |
abelian surface; good reduction of curves non-positive Euler characteristic; connected configurations of irreducible curves; ruled surface | 0 |
abelian surface; good reduction of curves Shimura varieties of PEL type; Ekedahl-Oort stratification; Newton stratification; good reduction | 0 |
abelian surface; good reduction of curves abelian differentials; moduli space of curves | 0 |
abelian surface; good reduction of curves order of Abelian automorphism group of projective surface | 0 |
abelian surface; good reduction of curves sextic curves; combinations of singularities; normal quartic surface; Dynkin diagrams | 0 |
abelian surface; good reduction of curves algebraic cycle; elliptic variety; standard conjecture of Lefschetz type; \(K3\) surface; abelian scheme | 0 |
abelian surface; good reduction of curves abelian surface; reduction mod p; density | 0 |
abelian surface; good reduction of curves abelian varieties; Jacobians; automorphisms of curves; abelian functions; soliton equations; integrable Hamiltonian systems; Poincaré reducibility; KP equation; KdV equation; Krichever theory; Calgorero-Moser system | 0 |
abelian surface; good reduction of curves rational surface; divisor; curves in a surface; number of moduli; plane curve; Castelnuovo's inequality; trigonal locus | 0 |