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abelian surface; good reduction of curves existence of abelian varieties of small dimensions; endomorphism algebra; one-parameter family of polarized abelian varieties
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abelian surface; good reduction of curves irreducibility of the family of all plane curves of given degree; nodes; quasi-ordinary singularity; Severi varieties; fans
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abelian surface; good reduction of curves Siegel moduli space; moduli space of abelian varieties; coarse moduli spaces; Satake compactification; toroidal compactification
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abelian surface; good reduction of curves Mumford's fake plane; surfaces of general type; minimal elliptic surface; Bloch conjecture
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abelian surface; good reduction of curves normal complex surfaces; germs of complex curves; degenerating families of complex curves; Seifert manifolds; Waldhausen manifolds; fibrations over the circle
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abelian surface; good reduction of curves divisors; moduli space of stable curves
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abelian surface; good reduction of curves moduli space of compact Riemann surface; stable cohomology
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abelian surface; good reduction of curves Kontsevich constant; topological recursion; ribbon graphs; symplectic and Euclidean volume; moduli of curves
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abelian surface; good reduction of curves Jacobian varieties; curves of genus three
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abelian surface; good reduction of curves gonality; deformations of space curves; Hilbert scheme; ruled surfaces; Zariski tangent space; Brill-Noether number
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abelian surface; good reduction of curves Segre classes; Chern classes; embeddings in a product of projective spaces; embeddings of abelian varieties; scroll
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abelian surface; good reduction of curves Arakelov theory; Arakelov-Green functions; Wronskian differential; Belyi degree; arithmetic surfaces; Riemann surfaces; curves; Arakelov invariants; Faltings height; discriminant; faltings' delta invariant; self-intersection of the dualising sheaf; branched covers
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abelian surface; good reduction of curves cohomology of moduli spaces of curves; curves over finite fields; hyperelliptic curves
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abelian surface; good reduction of curves intersection theory of moduli spaces of curves; matroid Chow rings; polynomials of matroids
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abelian surface; good reduction of curves covering of Riemann surface; generalized projective structures
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abelian surface; good reduction of curves cubic curve; Euclidean plane; pencil of curves; associated point; Neuberg cubic; projective plane
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abelian surface; good reduction of curves curves of genus 2; number of rational points
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abelian surface; good reduction of curves Picard numbers; rank of the Mordell-Weil group; elliptic curves over function fields; automorphisms
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abelian surface; good reduction of curves double tangent; fourth order curves; conics; pencil of conics
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abelian surface; good reduction of curves Koszul algebras; projections of the Veronese surface; diagonal algebras; complete intersections
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abelian surface; good reduction of curves monodromy; surfaces; good reduction; Calabi-Yau threefold; degeneration type
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abelian surface; good reduction of curves coset intersection problem; plane cubic curves; coset; abelian group; configuration; projective plane
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abelian surface; good reduction of curves set-theoretic intersection of binomial surface; monomial curve
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abelian surface; good reduction of curves Harer-Zagier formula; Riemann surface; Euler characteristic; moduli space; curves; genus; enumeration; Euler circuits
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abelian surface; good reduction of curves number of twisted cubic curves
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abelian surface; good reduction of curves singular locus of moduli of rational Weierstrass fibration; quotient singularities; elliptic surface
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abelian surface; good reduction of curves higher Chow cycle; product of two elliptic curves; product of three elliptic curves; Deligne cohomology
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abelian surface; good reduction of curves moduli space of curves; Gromov--Witten theory; tautological rings; tautological relations
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abelian surface; good reduction of curves Shimura varieties; congruence relations; moduli spaces of abelian varieties; p-divisible groups
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abelian surface; good reduction of curves Bézier curve; Bézier surface; degree reduction; expanded metal thread
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abelian surface; good reduction of curves logarithmic geometry; moduli of curves; intersection theory; Jacobians of curves
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abelian surface; good reduction of curves ordinary \(K3\) surface; canonical and quasi-canonical lifting; Hodge conjecture; self product of a \(K3\) surface
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abelian surface; good reduction of curves abelian variety; ample invertible sheaves; multiplication of sections map
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abelian surface; good reduction of curves Seshadri constant; ample line bundle; abelian surface; elliptic curve
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abelian surface; good reduction of curves algebraic curves; third order curves; nets of conics; Hesse-Steiner curve; Hermit's curve of nets
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abelian surface; good reduction of curves Abelian varieties; isogenies; points of finite order; Tate modules; complex multiplication
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abelian surface; good reduction of curves bound states for weakly attractive \(\delta^{\prime}\)-interactions; non-closed curves; spectrum of Schrödinger operator
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abelian surface; good reduction of curves Beurling spectrum of a function; locally compact Abelian group; parabolic equation; continuous unitary character; Banach space; Fourier transform; Banach module; directed set; Stepanov set
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abelian surface; good reduction of curves toric Fano varieties; equivariant birational maps; embedding an abelian surface; weak-Fano toric varieties; deformations
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abelian surface; good reduction of curves Picard group; free abelian monoid; seminormal ring; Mayer-Vietoris sequence of algebraic K-theory
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abelian surface; good reduction of curves Moduli space of curves; Galois coverings of moduli spaces; smooth compactifications of Galois coverings; Teichmüller theory; congruence subgroup problem for the Teichmüller group
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abelian surface; good reduction of curves cross ratio variety; rational double point; Weyl groups; Appell- Lauricella hypergeometric function; deformation of \(E_ 6\)-singularity; cubic surface; Cayley family
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abelian surface; good reduction of curves Lefschetz theorem; Riemann surfaces; Jacobians; Riemann-Roch theorem; Abel-Jacobi theorem; Riemann period relations; theta functions; embeddings of complex tori; modular curves; Tate conjecture; Arakelov theory
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abelian surface; good reduction of curves surface of general type; horizontal fixed component; horizontal fixed component of linear system; cotangent bundle; line bundle
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abelian surface; good reduction of curves \(k\)-very ampleness of a line bundle; hyperelliptic surface
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abelian surface; good reduction of curves algebraic function fields; constructions of linear codes; algebraic curves; algebraic-geometric codes; Goppa codes
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abelian surface; good reduction of curves Goppa codes; divisors of curves; Riemann-Roch theorem; linear codes
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abelian surface; good reduction of curves efficient elliptic curve arithmetic; point multiplication; Jacobi model of elliptic curves
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abelian surface; good reduction of curves differentiable invariant; \(\Gamma_ X\)-invariant for compact, oriented smooth 4-manifolds; moduli spaces of PU(2)-connections; Dolgachev surfaces; Barlow surface
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abelian surface; good reduction of curves rational curves on hypersurfaces; number of rational curves; incidence scheme
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abelian surface; good reduction of curves principally polarized Adler-van Moerbeke surfaces; Kummer surfaces; abelian surfaces as complete intersections of webs of quadrics
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abelian surface; good reduction of curves singular projective curves; normalization maps; rings of differential operators; invertible sheaf; maximal finite dimensional factor algebras; category of quasi-coherent sheaves
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abelian surface; good reduction of curves moduli space of curves; A-infinity-algebra; Hochschild cohomology; deformation theory
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abelian surface; good reduction of curves asymptotic theory of codes; algebraic curves; modular curves; elliptic modules
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abelian surface; good reduction of curves uniformization; Riemann surface of genus two; involution; Riemann matrix; group automorphisms
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abelian surface; good reduction of curves rank-level duality; vertex algebras; conformal blocks; Picard group of the moduli stack of stable curves; psi classes; conformal embedding
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abelian surface; good reduction of curves plane algebraic curves; number of inflexion points; number of sextactic points; number of vertices
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abelian surface; good reduction of curves 4-fold; 2nd homology group of the intersection surface of two complex quadrics
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abelian surface; good reduction of curves Picard group; Picard number; real algebraic surface; homology; algebraic cycles; resolution of singularities
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abelian surface; good reduction of curves root lattices; numerically elliptic surface; combinatorial methods; exceptional curves
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abelian surface; good reduction of curves torsion groups of elliptic curves with integral j-invariant; pure cubic number fields
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abelian surface; good reduction of curves moduli of curves; poincare polynomial; operads; tensor species
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abelian surface; good reduction of curves deformation theory; infinitesimal methods; formal neighborhoods; algebraic moduli problems; formal moduli; Hilbert schemes; moduli of curves; moduli of vector bundles
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abelian surface; good reduction of curves hyperelliptic curves in abelian varieties
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abelian surface; good reduction of curves moduli of curves; automorphisms of curves and Jacobians
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abelian surface; good reduction of curves Chow ring; constant cohomology ring; ring of formal power series; quantum cohomology; contact product; number of rational plane curves
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abelian surface; good reduction of curves Brauer group; abelian variety; K3 surface
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abelian surface; good reduction of curves algebraic curves; field of moduli; field of definition
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abelian surface; good reduction of curves surface of general type; surface with \(p_g=0\); Bloch conjecture
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abelian surface; good reduction of curves valued field; abelian variety; semistable reduction; rigid geometry; formal Néron models
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abelian surface; good reduction of curves computational problems; supersingular elliptic curves; isogeny graphs; endomorphism rings; constructive versions of Deuring's correspondence
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abelian surface; good reduction of curves rationality; moduli spaces of marked curves; twisted forms; Galois cohomology; Brauer group
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abelian surface; good reduction of curves moduli space of pointed curves; Kodaira dimension; unirulness; moduli space of hyperelliptic curves
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abelian surface; good reduction of curves geometry of principal bundles; singularities of smooth mappings; symplectic reduction with singularities; Yang-Mills connections; stratified symplectic space; Poisson structure; geometry of moduli spaces; representation spaces; moduli of holomorphic vector bundles
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abelian surface; good reduction of curves field of moduli of an abelian variety
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abelian surface; good reduction of curves stable vector bundles; fundamental group of the Riemann surface; moduli space; universal bundle
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abelian surface; good reduction of curves elliptic curves; rational points of order 2
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abelian surface; good reduction of curves \(K3\) surfaces; variation of curves; Hitchin system; Mukai system; tangent bundle; stability
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abelian surface; good reduction of curves geometry of divisor; three-dimensional Brieskorn singularity; torus resolution; K3-surface; rational surface
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abelian surface; good reduction of curves stable pairs of rank 2 over a compact Riemann surface; coarse moduli property; moduli scheme of stable pairs
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abelian surface; good reduction of curves LeBrun twistor spaces; singularities of rational curves
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abelian surface; good reduction of curves mixed Hodge structure; second cohomology group; Hessian family of elliptic curves
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abelian surface; good reduction of curves admissible covers; Hodge bundle; tautological classes; moduli space of curves
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abelian surface; good reduction of curves varieties of Picard type; Picard modular forms; moduli spaces of principally polarized abelian varieties; Hermitian forms; Hermitian modular group
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abelian surface; good reduction of curves arithmetic fundamental group; moduli space of curves; Galois group over Q
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abelian surface; good reduction of curves Steiner Roman surface; Igusa quartic; abelian surface
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abelian surface; good reduction of curves Isaac Newton; Principia; local and global algebraicity of areas; smoothness of curves; D. T. Whiteside
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abelian surface; good reduction of curves fundamental groups; complements of real curves; Zariski pair; arrangements; Galois covering
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abelian surface; good reduction of curves polarized normal surface; canonical divisor; extremal rational curves
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abelian surface; good reduction of curves action of a group on a surface; Belyĭ function; dessin; hypermap; map; map covering; orbifold
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abelian surface; good reduction of curves real algebraic geometry; sums of squares; special curves; surfaces of minimal degree
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abelian surface; good reduction of curves monomial curves; rings generated by monomials; finite Macaulayfication; Cohen-Macaulay ring; Buchsbaum ring; Castelnuovo-Mumford regularity; reduction number
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abelian surface; good reduction of curves smooth symplectic surface; embedded Lagrangian disks; pseudoholomorphic curves; Lagrangians; Floer theory
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abelian surface; good reduction of curves surface singularity; splice-quotient singularity; rational homology sphere; splice type singularity; universal abelian cover
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abelian surface; good reduction of curves family of curves; Weierstraß points
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abelian surface; good reduction of curves sextic trefoil, plane curves of low degree; complex curve; flat geometry
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abelian surface; good reduction of curves function fields; biquadratic curves; biquadratic covers; number of points over finite fields; arithmetic statistics
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abelian surface; good reduction of curves rational points; elliptic curves; modular forms; area of right triangle with rational sides; survey; congruent numbers; students education
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abelian surface; good reduction of curves polarizations; isogenies; Euler characteristics; symplectic representations; \(\ell\)-adic representations; group of inertia type; isogeny classes of abelian varieties
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abelian surface; good reduction of curves sextic surface; maximum number of nodes
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