text
stringlengths 2
1.14k
| label
int64 0
1
|
|---|---|
abelian surface; good reduction of curves abelian surface; curve; Jacobian; reduction; simplicity; reducibility; counting function | 0 |
abelian surface; good reduction of curves virtual Mordell-Weil rank; rationality of surface; minimal bundle of non-hyperelliptic curves | 0 |
abelian surface; good reduction of curves irreducibility of system of irreducible plane curves; abelian; fundamental group of the complement of a nodal plane curve; degree n | 0 |
abelian surface; good reduction of curves abelian surface; Kummer surface; \(K3\) surface; semistable reduction; degeneration; Kulikov model; special fibre; monodromy conjecture | 0 |
abelian surface; good reduction of curves elliptic curves; Iwasawa theory; \(p\)-adic heights; \(p\)-adic \(L\)-function; height pairing of abelian varieties; Iwasawa function; rational point of infinite order; Tate duality | 0 |
abelian surface; good reduction of curves Fermat surface; Jacobian; arithmetic function; number of congruence classes; finite Abelian groups; average value | 0 |
abelian surface; good reduction of curves non-abelian cohomology; moduli space of curves | 0 |
abelian surface; good reduction of curves Riemann surface; Brill-Segre formula; family of curves | 0 |
abelian surface; good reduction of curves abelian varieties with complex multiplication; periods of first and second kind; Jacobian of the Fermat curves; linear independence of values of the Beta-function; covering radius | 0 |
abelian surface; good reduction of curves algebraic curves; Jacobians; Prym varieties; isogeny of abelian varieties; decomposition theorems | 0 |
abelian surface; good reduction of curves surface of general type; moduli space of 2-dimensional principally polarized abelian varieties | 0 |
abelian surface; good reduction of curves cubic surface; moduli space; curves of genus three; odd theta- characteristic | 0 |
abelian surface; good reduction of curves rigid geometry; valuation ring; rigid spaces; uniformization; reduction of curves; Berkovich space | 0 |
abelian surface; good reduction of curves computational geometry; arrangement of curves; parametric surface; \texttt{Cgal}; robust geometric computing; Voronoi diagram; lower envelope; Gaussian map; quadric; ring dupin cyclide | 0 |
abelian surface; good reduction of curves good resolution of normal surface singularity | 0 |
abelian surface; good reduction of curves hyperelliptic curves; discriminant; Weierstrass equation; good reduction | 0 |
abelian surface; good reduction of curves extensions of valuations; nonarchimedean valuations; Gauss valuation; Skolem property; analytical reduction of algebraic curves | 0 |
abelian surface; good reduction of curves torsion subgroup of Galois group; Iwasawa theory; elliptic curves; imaginary quadratic field; \({bbfZ}_{\ell }\)-extension; abelian extension; maximal abelian p-extension | 0 |
abelian surface; good reduction of curves surface of general type; number of rational curves | 0 |
abelian surface; good reduction of curves \(K3\) surface; Hasse-Weil zeta function; complex multiplication; good reduction; Tate conjecture | 0 |
abelian surface; good reduction of curves number of rational curves in Kummer surface | 0 |
abelian surface; good reduction of curves coverings of curves; quadric surface; space curve | 0 |
abelian surface; good reduction of curves class field theory for curves over local fields; abelian fundamental group; class field theory of two-dimensional local fields; reciprocity law | 0 |
abelian surface; good reduction of curves quasi-periodic solutions; BKP hierarchy; quasi-periodic \(\tau \) - functions; theta functions; Prym varieties of algebraic curves; wave functions; soliton solutions; Abelian integrals; pole divisor; Riemann's theta function | 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 elliptic curves; everywhere good reduction; real quadratic fields; rational 2-division points | 0 |
abelian surface; good reduction of curves del Pezzo surface; DPS; good reduction | 0 |
abelian surface; good reduction of curves abelian integrals; Riemann surfaces; algebraic curves; Jacobians; algebraic surfaces; abelian varieties; history of mathematics | 0 |
abelian surface; good reduction of curves Teichmüller space; Teichmüller metric; variation of Hodge structures; family of Jacobians over a Teichmüller curves; abelian varieties; Shimura curves; Higgs bundle | 0 |
abelian surface; good reduction of curves normal surface singularities; \({\mathbb C}^*\)-actions; weighted homogeneous; pencils of curves; resolution graphs | 0 |
abelian surface; good reduction of curves curves and abelian varieties over finite fields; distribution of the trace of matrices; equidistribution; Frobenius operator; generalized Sato-Tate conjecture; Katz-Sarnak theory; random matrices; Weyl's integration formula | 0 |
abelian surface; good reduction of curves principally polarized abelian varieties; product of elliptic curves; modular curve | 0 |
abelian surface; good reduction of curves rational singularities; quartic surface; normal bundle; curves passing through rational double points of surfaces; Cayley surface | 0 |
abelian surface; good reduction of curves Castelnuovo inequality; minimal algebraic surface of general type; Veronese surface; rational normal scroll; canonical model; deformations; number of moduli; pencil of nonhyperelliptic curves | 0 |
abelian surface; good reduction of curves Del Pezzo surface; DPS; good reduction | 0 |
abelian surface; good reduction of curves moduli of curves; divisors; strata of abelian differentials | 0 |
abelian surface; good reduction of curves discrete valuation; divisorial valuation; blow-up; regular surface; reduced plane curves; semigroup of valuations; Poincaré series | 0 |
abelian surface; good reduction of curves cubic threefolds; intermediate Jacobian; elliptic curves; abelian surface with real multiplication | 0 |
abelian surface; good reduction of curves exponential height; diophantine equations; Bogomolov-Miyaoka-Yau inequality; arithmetic surface; Arakelov's intersection theory; intersection numbers; Szpiro conjecture; Parshin trick; asymptotic Fermat theorem; boundedness of the torsion of elliptic curves | 0 |
abelian surface; good reduction of curves Kodaira divisor; smooth irreducible curve on a Del Pezzo surface; gonality; linear system; Clifford index; syzygies of curves | 0 |
abelian surface; good reduction of curves Kummer surface; Brauer group; rational points; torsion of elliptic curves | 0 |
abelian surface; good reduction of curves duality of space curves; characteristic \(p\); multiplicities; reflexivity; tangent surface | 0 |
abelian surface; good reduction of curves abelian surface; embedding of abelian surface | 0 |
abelian surface; good reduction of curves valued function fields; good reduction; regular functions; reciprocity lemma; unit; local symbols; local-global principle; solvability of diophantine equations | 0 |
abelian surface; good reduction of curves unimodal complete intersection; spectrum of a hypersurface singularity; resolution of curves; surface singularities; toric varieties | 0 |
abelian surface; good reduction of curves real abelian varieties; real structures on complex varieties; real curves; compact Riemann surface | 0 |
abelian surface; good reduction of curves modular polynomials; cyclic isogeny; abelian surface; Humbert surface; moduli space of Hilbert and Siegel; theta constant | 0 |
abelian surface; good reduction of curves curves of genus three; real multiplication; abelian variety | 0 |
abelian surface; good reduction of curves curve with bad reduction; complete local field; uniformization of the Jacobian; uniformizations of abelian varieties | 0 |
abelian surface; good reduction of curves Gieseker-semistable sheaves; Poincaré bundle; moduli space of \(\mu\)-stable vector bundles; polarised abelian surface; Fourier-Mukai transform | 0 |
abelian surface; good reduction of curves Betti number of an abelian covering of a \(CW\)-complex; cyclotomic coordinates; fundamental group; complement to an algebraic curve; link; Alexander polynomials of plane algebraic curves | 0 |
abelian surface; good reduction of curves quadric surface fibration over a curve; discriminant curve; space of sections; rank-2 vector bundles over curves | 0 |
abelian surface; good reduction of curves \(K3\) surface; number of curves in linear system | 0 |
abelian surface; good reduction of curves abelian surface with a polarization; odd theta functions; elliptic fibration; singular fibres; embedding of Kummer surfaces | 0 |
abelian surface; good reduction of curves generic pencil curves; abelian pencil of curves | 0 |
abelian surface; good reduction of curves bad reduction of Shimura curves; Shimura variety; characteristic p | 0 |
abelian surface; good reduction of curves Riemann surfaces; Abelian integrals; algebraic number theory; function fields; valuations; function fields of curves; Abel-Jacobi theorem | 0 |
abelian surface; good reduction of curves stability of the restriction of a rank 2 vector bundle; abelian surface | 0 |
abelian surface; good reduction of curves Seshadri constants; Jacobian of hyperelliptic curves; abelian varieties; local ampleness | 0 |
abelian surface; good reduction of curves \(L\)-function; Shimura variety; Hilbert-Blumenthal surface; Tate's conjectures for abelian fields; group of algebraic cycles; intersection cohomology; canonical intermediate-perversity extension; Hirzebruch- Zagier cycles; Tate class | 0 |
abelian surface; good reduction of curves abelian variety; Hasse-Witt invariant; density of primes; conjecture of Lang and Trotter; modular curves | 0 |
abelian surface; good reduction of curves abelian surfaces; product of elliptic curves; Picard number | 0 |
abelian surface; good reduction of curves stability; vector bundle; symmetric power; ruled surface; cone of curves | 0 |
abelian surface; good reduction of curves p-ordinary CM types; motives; period relation; Hodge-Tate decompositions of the cohomology of an abelian variety; with complex multiplications; Hodge conjecture; p-adic periods of the quotients of Fermat curves; Hodge-Tate decompositions of the cohomology of an abelian variety with complex multiplications | 0 |
abelian surface; good reduction of curves principally polarized abelian varieties; Jacobian variety of a curve; Hecke algebra; Prym variety for covers of curves | 0 |
abelian surface; good reduction of curves Quotients of products of curves; Beauville surface; Beauville structure; simple group; quasi-simple group | 0 |
abelian surface; good reduction of curves Xiao's conjecture; algebraic surface; birational geometry; canonical fibration; family of curves | 0 |
abelian surface; good reduction of curves Auslander-Reiten quiver; germ of a normal complex surface singularity; isomorphism classes of vector bundles; reflexive modules; reduction cycle; rational singularities; minimal-elliptic singularities; simply- elliptic singularites; torsion free modules over plane curve singularities | 0 |
abelian surface; good reduction of curves smooth irreducible curve on a Del~Pezzo surface; linear system; Clifford index; syzygies of curves; Kodaira divisor; gonality | 0 |
abelian surface; good reduction of curves good reduction of a curve; Fontaine's rings; crystalline site; unipotent fundamental group | 0 |
abelian surface; good reduction of curves genus of a Riemann surface; generalised Castelnuovo curves; linear series | 0 |
abelian surface; good reduction of curves curves in algebraic surfaces; Chern numbers; low genus; Miyaoka-Yau inequality; surface of general type | 0 |
abelian surface; good reduction of curves number of rational curves on a \(K3\) surface; Euler-Poincaré characteristic | 0 |
abelian surface; good reduction of curves generic morphism; branch curve; discriminant curve; Chisini's conjecture; surface of general type; braid monodromy; cuspidal algebraic curves | 0 |
abelian surface; good reduction of curves Jacobi sum; special values of L-function; Hecke character; Abelian number field; periods of elliptic curves | 0 |
abelian surface; good reduction of curves covers of curves; degree of coverings; torsion of abelian varieties | 0 |
abelian surface; good reduction of curves semistable curve; moduli of curves; resolution of singularities; alteration; integral variety; monoidal transformations; semi-stable reduction theorem; multiplicity of intersection for two modules; Monsky-Washnitzer cohomology groups; monodromy actions on étale cohomology | 0 |
abelian surface; good reduction of curves compactification of projective 3-space; singular K-3 surfaces; hypersurface isolated singularity; ruled surface; exceptional curves; Fano 3-fold | 0 |
abelian surface; good reduction of curves finite automorphism group; elliptic fibrations; Enriques surfaces; universal covering surface; global Torelli theorem; dual graphs of nodal curves | 0 |
abelian surface; good reduction of curves cohomology group; cuspidal representation; dimension formula; automorphic forms; elliptic curves; good reduction; Lefschetz fixed point theorem; imaginary quadratic fields | 0 |
abelian surface; good reduction of curves curves of genus three; real multiplications; abelian variety | 0 |
abelian surface; good reduction of curves Semi-stable and stable vector bundles on regular projective curves; moduli space of stable bundles; local non-abelian zeta functions for curves defined over finite fields (rationality and functional equations); global non-abelian zeta functions for curves defined over number fields; non-abelian L--functions for function fields (rationality and functional equations) | 0 |
abelian surface; good reduction of curves elliptic curve over the rational function field; ring of invariants; excellent families of elliptic curves; Weyl group; Mordell-Weil lattice of a rational elliptic surface | 0 |
abelian surface; good reduction of curves number of disjoint rational curves on a complex surface | 0 |
abelian surface; good reduction of curves Seshadri constant; abelian varieties; product of elliptic curves; Gauss map; linear series | 0 |
abelian surface; good reduction of curves isogenies; Jacobians; moduli of curves; moduli of abelian varieties | 0 |
abelian surface; good reduction of curves Weierstrass function; lattices; cubic polynomials; geometric realization of hyperelliptic curves; symmetric \(4p\)-gons; polynomials with nonzero discriminant; biholomorphism; Picard-Fuchs equation; hyperelliptic Riemann surface | 0 |
abelian surface; good reduction of curves direct product of elliptic curves; Hodge conjecture; abelian variety | 0 |
abelian surface; good reduction of curves Theta functions; Abelian integrals; periods; Riemann surface; algebraic curves; characteristics; transformation theory. | 0 |
abelian surface; good reduction of curves characteristic p; addition law; sums of Abelian integrals on algebraic curves | 0 |
abelian surface; good reduction of curves rational surface; Gauss map; very ample line bundle; plane curves; embeddings of rational surfaces; spanned line bundle; linear systems of plane curves; plane curves with prescribed singularities; injectivity of the Gauss map; blowing-up; very ample; Gauss maps | 0 |
abelian surface; good reduction of curves Euler characteristics; local systems; curves of genus 3; abelian threefolds | 0 |
abelian surface; good reduction of curves Klein surface; Riemann surface; moduli space of real algebraic curves | 0 |
abelian surface; good reduction of curves fibred surface; extension of maps; fibration of curves | 0 |
abelian surface; good reduction of curves compactifications of moduli spaces of abelian varieties; polarization; toroidal compactifications; degenerated abelian surface; Horrocks-Mumford bundle | 0 |
abelian surface; good reduction of curves Kummer surface of Abelian surface; \(K3\) surface; Mumford system; Riemann surface; intermediate Kummer surface; completely integrable system | 0 |
abelian surface; good reduction of curves supersingular abelian surface; supersingular \(K3\) surface; minimal resolution of singularities | 0 |
abelian surface; good reduction of curves rational curves; number of rational points; elliptic surface | 0 |
abelian surface; good reduction of curves Enriques surface; period map; Nikulin lattice theory; set of isomorphy classes of Enriques surfaces; existence of smooth rational curves | 0 |
abelian surface; good reduction of curves principally polarized abelian variety; theta function; Jacobian varieties of hyperelliptic curves and non-hyperelliptic curves; module over of ring of differential operators | 0 |