text
stringlengths 2
1.14k
| label
int64 0
1
|
|---|---|
abelian surface; good reduction of curves deformations; configuration of curves in a complex surface; irregularity; Kummer covering
| 0
|
abelian surface; good reduction of curves group of torsion points; Abelian variety; kernel of reduction
| 0
|
abelian surface; good reduction of curves elliptic surfaces; monotonicity; elliptic curves; Picard-Fuchs equation; quotient of the abelian integrals; Riccati equation
| 0
|
abelian surface; good reduction of curves branched cover; ampleness of vector bundle; finite map; nef vector bundle; abelian variety; Hirzebruch surface; Fano manifold; Del Pezzo manifold
| 0
|
abelian surface; good reduction of curves space of cusp forms; newform; modular curve; computing the period matrix; principally polarization abelian surface; Jacobian
| 0
|
abelian surface; good reduction of curves abelian differentials; differentials of second kind moduli space of curves; Deligne-Mumford compactification; Picard group
| 0
|
abelian surface; good reduction of curves product of two elliptic curves; surface with a structure of a fiber space; degree of irrationality
| 0
|
abelian surface; good reduction of curves fat points; germ of a complex algebraic surface; cotangent cohomology; rational surface singularity; tangent cone; hypersurface singularity; quotient singularity; hyperplane sections; partition curves; deformation; Harrison cohomology
| 0
|
abelian surface; good reduction of curves supersingular surfaces; quotient of abelian surface; K3 surface; generalized Kummer surface; Zariski surface
| 0
|
abelian surface; good reduction of curves \(p\)-divisible group; principally polarized abelian varieties; density of the ordinary locus; good reductions of Shimura varieties of PEL-type
| 0
|
abelian surface; good reduction of curves moduli space of principally polarized abelian varieties; moduli space of smooth algebraically irreducible curves; Jacobi map; Jacobian of the curve; the Novikov's conjecture; trisecant lines; Kummer variety
| 0
|
abelian surface; good reduction of curves \(L\)-functions; local roots; Weil curves; abelian variety; semistable reduction; Weil pairing
| 0
|
abelian surface; good reduction of curves finite group schemes; generic fibre; abelian varieties; potentially good reduction
| 0
|
abelian surface; good reduction of curves Weierstrass semigroup; double covering of curves; Hirzebruch surface
| 0
|
abelian surface; good reduction of curves stable reduction of curves; tamely ramified extensions
| 0
|
abelian surface; good reduction of curves toroidal degenerations of principally polarized abelian varieties; toroidal compactification of the moduli space of abelian surfaces; polarization; degenerate surface
| 0
|
abelian surface; good reduction of curves derived categories of modules; coherent sheaves; curves with simple singularities; nodal rings; configurations of projective lines; matrix problems; categories of triples; Cohen-Macaulay modules; surface singularities; vector bundles over projective curves
| 0
|
abelian surface; good reduction of curves rational points; hyperelliptic curves; ranks of abelian varieties; Selmer groups
| 0
|
abelian surface; good reduction of curves moduli space of abelian surfaces; Horrocks-Mumford vector bundle; trisecant surface of a rational curve
| 0
|
abelian surface; good reduction of curves abelian differentials; flat surfaces; moduli space of stable curves; Teichmüller dynamics; plumbing
| 0
|
abelian surface; good reduction of curves algebraic curves; conics; elliptic curves; projective geometry; polynomial rings; Bezout's theorem; intersection multiplicity; linear systems; inflection points; abelian varieties; local rings; Newton polygons; Puiseux expansion; Cremona transformation; singular points; resolution of singularities; Pücker formulas; differential forms; Riemann surfaces
| 0
|
abelian surface; good reduction of curves abelian fields of small degree; coverings of modular curves; unit group; one-parameter families of elliptic curves
| 0
|
abelian surface; good reduction of curves complements of branch curves; fundamental group; moduli space of surfaces of general type; Veronese surface
| 0
|
abelian surface; good reduction of curves Néron-Tate heights; Bogomolov conjecture; Arakelov theory; positivity of the dualizing sheaf; abelian variety; arithmetic surface
| 0
|
abelian surface; good reduction of curves rational fibration method; number of irreducible rational curves; degrees of Severi varieties; divisor classes; ruled surface; Néron-Severi group; minimal desingularization; tangential locus
| 0
|
abelian surface; good reduction of curves smooth projective varieties; flag varieties; Miyaoka's semipositivity theorem; cotangent bundle; rational surfaces; divisorial contractions; fibrations; crystalline differential operators; étale fundamental group; semistability; reflexives sheaves; semipositive sheaves; uniruled varieties; Riemann-Hilbert correspondence; stable Higgs bundle; Chern classes; flat connections; Artin's criterion of contractibility; Kodaira dimension; Hirzebruch surface; canonical divisor; surfaces of general type; Barlow's surfaces; del Pezzo surfaces; Fano three-folds
| 0
|
abelian surface; good reduction of curves families of singular rational curves; partial resolution of singularities
| 0
|
abelian surface; good reduction of curves rationality of moduli space of curves of genus 2; rationality of moduli space of nodal cubics
| 0
|
abelian surface; good reduction of curves elliptic curves; cryptosystems; discrete logarithm; group of rational points; elliptic curve over a finite field; practical implementations; algorithms; running times
| 0
|
abelian surface; good reduction of curves curves on cubic surface; Hilbert function; Rao module; Eckardt points
| 0
|
abelian surface; good reduction of curves liaison; monomial curves; linkage of arithmetical Buchsbaum curves; Gorenstein ring
| 0
|
abelian surface; good reduction of curves \(\mathcal{S}_5\)-covers; canonical resolution; surfaces of general type with positive indices; Galois closure curves; Galois points
| 0
|
abelian surface; good reduction of curves parking functions; moduli of curves; multidegree; intersection theory
| 0
|
abelian surface; good reduction of curves Kummer surface; Jacobian of genus 2 curve; twist; Brauer-Manin obstruction
| 0
|
abelian surface; good reduction of curves symmetric Riemann surface; complex curve; groups of automorphisms
| 0
|
abelian surface; good reduction of curves pPencil of curves; arrangements of curves; free divisors
| 0
|
abelian surface; good reduction of curves linear systems of curves; generality on pointsets in projective 2-space; very ample divisor; blowing-up a finite set of points; Cayley-Bacharach theorem
| 0
|
abelian surface; good reduction of curves local uniformization; hypersurface singularities; resolution of singularities; defect; multiplicity; valuations; Perron transforms; Zariski's reduction of singularities; defectless projection
| 0
|
abelian surface; good reduction of curves good semigroups; genus of a good semigroup; type of a good semigroup; Wilf conjecture
| 0
|
abelian surface; good reduction of curves degenerations of abelian varieties; moduli schemes for principally polarized abelian varieties; algebraic stack; toroidal compactification; logarithmic structures
| 0
|
abelian surface; good reduction of curves finite abelian cover; cohomology class; extension of the fundamental groups
| 0
|
abelian surface; good reduction of curves period map; set of isomorphy classes of Enriques surfaces; Nikulin lattice theory; existence of smooth rational curves
| 0
|
abelian surface; good reduction of curves algebraicity of surface; elliptic surface; logarithmic transformation; Kodaira dimension
| 0
|
abelian surface; good reduction of curves modular curves; classification of Hilbert modular surfaces
| 0
|
abelian surface; good reduction of curves quadratic space; conic bundle surface; resolution of singularities; orders in quaternion algebras
| 0
|
abelian surface; good reduction of curves rational points of algebraic curves; theorem of Mordell-Weil; effectivity; Diophantine approximation
| 0
|
abelian surface; good reduction of curves real algebraic curves; combinatorial patchworking; Ragsdale conjecture; number of ovals
| 0
|
abelian surface; good reduction of curves set theoretic complete intersection curves; monoidal surfaces of degree 4
| 0
|
abelian surface; good reduction of 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
|
abelian surface; good reduction of curves moduli space of curves of genus \(g\); Hodge integrals; Virasoro constraint; loop equation
| 0
|
abelian surface; good reduction of curves computation of homology; real algebraic surface
| 0
|
abelian surface; good reduction of curves coverings; linear series; morphism of degree 2 of smooth curves
| 0
|
abelian surface; good reduction of curves systems of curves; algebraic differential equations
| 0
|
abelian surface; good reduction of curves algebraic groups; adjoint groups; R-equivalence; nondyadic local fields; function fields of curves; algebras with involution; Hermitian forms; Rost invariant
| 0
|
abelian surface; good reduction of curves compact Riemann surface; generic vector bundle; moduli space of semi- stable vector bundles
| 0
|
abelian surface; good reduction of curves Lie group; adjoint variety; degeneration; Grassmannian; Calabi-Yau threefold; \(K3\) surface of genus 10
| 0
|
abelian surface; good reduction of curves Brill-Noether curve; divisor; covering of curves; base point free pencil
| 0
|
abelian surface; good reduction of curves algebraic curve; Riemann surface; Teichmüller spaces; degenerate curves; fundamental group
| 0
|
abelian surface; good reduction of curves Determinants; algebra; geometry; discussion of an equation of second degree; homogeneous coordinates; analytic criteria; plane sections of \(2^{\text{nd}}\) order surfaces; invariants of quadratic forms; plane curves of third order
| 0
|
abelian surface; good reduction of curves contact homology; good toric contact manifold; symplectic cones; symplectic reduction; Conley-Zehnder index; Reeb orbit
| 0
|
abelian surface; good reduction of curves plane quartic curves; Dixmier-Ohno invariants; stable reduction; reduction type
| 0
|
abelian surface; good reduction of curves Kronecker series; \(L\)-functions of symmetric powers of elliptic curves; Beilinson's conjecture; motivic cohomology groups; Bloch-Beilinson regulator; de Rham cohomology
| 0
|
abelian surface; good reduction of curves abelian varieties over arithmetic ground fields; moduli of abelian varities; Dieudonné modules
| 0
|
abelian surface; good reduction of curves domain of periods; Torelli theorem; Kählerian K 3 surfaces; Hodge isometry; marked K 3 surface
| 0
|
abelian surface; good reduction of curves moduli spaces of algebraic curves; Betti numbers; dessins d'enfants
| 0
|
abelian surface; good reduction of curves moduli space of five lines; projection; quintic Del Pezzo surface
| 0
|
abelian surface; good reduction of curves compact Riemann surface; generalized Brill-Noether number; Yang-Mills-Higgs functional; existence of stable vector bundles
| 0
|
abelian surface; good reduction of curves Hasse-Weil-Serre bound; zeta function of curves over finite fields; rational points
| 0
|
abelian surface; good reduction of curves \(p\)-adic \(L\)-functions; elliptic curves; rational points; cyclotomic characters; interpolation; projective limit of the group of global units; \(p\)-adic height
| 0
|
abelian surface; good reduction of curves real algebraic curves; number of connected components
| 0
|
abelian surface; good reduction of curves compactifications for the relative Jacobian; Poincaré sheaf; étale base change; theta functions; family of reduced curves
| 0
|
abelian surface; good reduction of curves moduli; geometric genus; minimal surface of general type; irregularity; Castelnuovo's bound
| 0
|
abelian surface; good reduction of curves Moduli space; Riemann surface; Fuchsian group; strata of Riemann surfaces
| 0
|
abelian surface; good reduction of curves ideal sheaf; Fourier-Mukai; divisor; abelian surface; Hilbert scheme; stable sheaf
| 0
|
abelian surface; good reduction of curves abelian surface; isogeny; binary quadratic form
| 0
|
abelian surface; good reduction of curves moduli of abelian varieties; universal abelian variety; slope; nodal conic bundle
| 0
|
abelian surface; good reduction of curves tropical geometry; quartic curves; bitangent lines; Jacobians; moduli of curves
| 0
|
abelian surface; good reduction of curves space curve on a smooth cubic surface; maximal rank curves; extremal curves; Hilbert function
| 0
|
abelian surface; good reduction of curves stable curves of non compact type; limits of Weierstrass points on reducible curves
| 0
|
abelian surface; good reduction of 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
| 0
|
abelian surface; good reduction of curves diagonal equations; cyclotomic classes; cyclotomic numbers; number of points on finite diagonal curves; finite fields
| 0
|
abelian surface; good reduction of curves quotient of complex surface under the action of automorphism group; Enriques surfaces
| 0
|
abelian surface; good reduction of curves moduli space of semistable rank 2 bundles; complete surface; Chern class
| 0
|
abelian surface; good reduction of curves abelian Galois extensions; relative Brauer groups; cyclic extensions; indecomposable division algebras of prime exponent; central simple algebras; Brauer class; rational function fields
| 0
|
abelian surface; good reduction of curves abelian surfaces; nef cone; elliptic curves; volume functions
| 0
|
abelian surface; good reduction of curves F-form; moduli space of pointed stable curves; rationality; twisted form of moduli spaces.
| 0
|
abelian surface; good reduction of curves effective divisor class; almost excellent effective divisors; linear systems of plane curves
| 0
|
abelian surface; good reduction of curves theta characteristics; spin curves; moduli of spin curves
| 0
|
abelian surface; good reduction of curves normal generation of line bundles; normal presentation of line bundles on a smooth curve; hyperelliptic curves; degree; embedding
| 0
|
abelian surface; good reduction of curves integral points; Lang's conjecture; canonical height; Szpiro's conjecture; discriminant; bound for the number of torsion points on elliptic curves
| 0
|
abelian surface; good reduction of curves pencil of lines; Hessian pair; Hessian duad; Cremona self-tansformations; del Pezzo quintic surface
| 0
|
abelian surface; good reduction of curves QRT maps; genus of curves; dynamical systems
| 0
|
abelian surface; good reduction of curves textbook (functions of complex variables); Riemann surfaces; harmonic functions; uniformization; functions of several complex variables; abelian functions; modular forms
| 0
|
abelian surface; good reduction of curves rational points; Shimura curves; QM-abelian surfaces; Galois representations
| 0
|
abelian surface; good reduction of curves elliptic curves; mappings; isogenies; orders of elliptic curves; \(j\)-invariants
| 0
|
abelian surface; good reduction of curves deformations of tetragonal canonical curves; projective extensions; complete intersections on scrolls; rolling deformations; \(K3\) surfaces
| 0
|
abelian surface; good reduction of curves families; algebraic moduli; theta functions; Schottky problem; special curves and curves of low genus
| 0
|
abelian surface; good reduction of curves Abelian surfaces; Complex multiplication; Genus 2 curves
| 1
|
abelian surface; good reduction of curves Shimura curves; QM type abelian surfaces; Picard modular forms; hypergeometric functions; false elliptic curves; complex multiplication
| 0
|
abelian surface; good reduction of curves odd sections; even sections; ample symmetric line bundle; abelian surface; Kummer surface
| 0
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.