Skip to content

Algebraic Geometry papers — page 25

alg-geomBrowse archive

Birational symplectic manifolds and their deformations
The known counterexamples to the global Torelli theorem for higher-dimensional hyperkahler manifolds are provided by birational manifolds. We address the question whether two birational hyperkahler…
Daniel HuybrechtsJan 17, 1996
Learn
Global properties of families of plane curves
We describe degenerations of projective plane curves to curves containing a fixed line l as a component, and show that H1( Vn,d,m, O (r))=0, r ∈ Z, where…
Robert TregerJan 16, 1996
Learn
Severi Degrees in Cogenus 4
In this paper, we give closed-form formulae for Severi degrees in cogenus 3 and 4 using Ran's method. These formulae coincide with those of I. Vainsencher and for cogenus 3 case, that of J.…
Youngook ChoiJan 15, 1996
Learn
Super Curves, their Jacobians, and super KP equations
We study the geometry and cohomology of algebraic super curves, using a new contour integral for holomorphic differentials. For a class of super curves (``generic SKP curves'') we define a…
M. J. Bergvelt, J. M. RabinJan 15, 1996
Learn
Gromov-Witten invariants in algebraic geometry
Gromov-Witten invariants for arbitrary projective varieties and arbitrary genus are constructed using the techniques from K. Behrend, B. Fantechi: The intrinsic normal cone.
K. BehrendJan 15, 1996
Learn
The intrinsic normal cone
We suggest a construction of virtual fundamental classes of certain types of moduli spaces.
K. Behrend, B. FantechiJan 15, 1996
Learn
Holomorphic Rank Two Vector Bundles on Blow-ups
In this paper we study holomorphic rank two vector bundles on the blow up of C2 at the origin. A classical theorem of Birchoff and Grothendieck says that any holomorphic vector bundle on…
Elizabeth GasparimJan 12, 1996
Learn
Sur les espaces de modules des fibres vectoriels de rang deux sur des hypersurfaces de P3
Soit X une hypersurface lisse de degré δ≥ 4 dans 3 telle que Pic(X)=Z. On désigne par MX(c2) l'espace de modules des fibrés vectoriels sur X de classes de Chern c1 = 0 et…
Nicole MestranoJan 8, 1996
Learn
Pieri's Formula Via Explicit Rational Equivalence
We present a new geometric proof of Pieri's formula, exhibiting an explicit chain of rational equivalences from a suitable sum of distinct Schubert varieties to the intersection of a Schubert…
Frank SottileJan 8, 1996
Learn
On a theorem of Harer
We use Harer's stability theorem to give another proof of his fundamental theorem: The rank of the Picard group of the moduli space of smooth projective curves of genus g > 2 equals one.
Robert TregerJan 8, 1996
Learn
Higher genus symplectic invariants and sigma model coupled with gravity
We define higher genus Gromov-Witten invariants and establish a mathematical theory of sigma model coupled with gravity over any semi-positive symplectic manifolds. As applications, we verify the…
Yongbin Ruan, Gang TianJan 6, 1996
Learn
Uniform boundedness for rational points
We extend an earlier result by Dan Abramovich, showing that a conjecture of S. Lang's implies the existence of a uniform bound on the number of K-rational points over all smooth curves of genus…
Patricia L. PacelliJan 5, 1996
Learn
A sharp slope inequality for general stable fibrations of curves
Let Mg be the moduli space of stable curves of genus g >= 2. Let Di be the irreducible component of the boundary of Mg such that general points of Di correspond to stable curves with one node of…
Atsushi MoriwakiJan 5, 1996
Learn
Birational models for varieties of Poncelet curves
We consider Poncelet pairs (S,C), where S is a smooth conic and C is a degree-c plane curve having the Poncelet property with respect to S. We prove that for c>4 the projection…
Matei TomaJan 3, 1996
Learn
Determinant of complexes and higher Hessians
Let X ⊂ Pr be a smooth algebraic curve in projective space, over an algebraically closed field of characteristic zero. For each m ∈ N, the m-flexes of X are defined as the…
Fernando CukiermanJan 2, 1996
Learn
The Remark on Discriminants of K3 Surfaces Moduli as Sets of Zeros of Automorphic Forms
We show that for any N>0 there exists a natural even n>N such that the discriminant of moduli of K3 surfaces of the degree n is not equal to the set of zeros of any automorphic form on the…
Viacheslav V. NikulinDec 29, 1995
Learn
Residue construction of Hecke algebras
Hecke algebras are usually defined algebraically, via generators and relations. We give a new algebro-geometric construction of affine and double-affine Hecke algebras (the former is known as the…
Victor Ginzburg, Mikhail Kapranov, Eric VasserotDec 26, 1995
Learn
Deninger's conjecture on L-function of elliptic curves at s=3
I compute explicitly the regulator map on K4(X) for an arbitrary curve X over a number field. Using this and Beilinson's theorem about regulators for modular curves ([B2]) I prove a formula…
Alexander GoncharovDec 25, 1995
Learn
Lang maps and Harris's conjecture - a note in search for content
The Lang map, namely the universal dominant rational map to a variety of general type, is constructed and briefly discussed in relation with arithmetic conjectures of Harris, Lang and Manin.…
Dan AbramovichDec 23, 1995
Learn
Degenerations of elliptic curves and cusp singularities
We give more or less explicit equations for all two-dimensional cusp singularities of embedding dimension at least 4. They are closely related to Felix Klein's equations for universal curves with…
Jan StevensDec 21, 1995
Learn
Inégalités de Morse et variétés de Moishezon
The central topic of this thesis is the study of some properties of a class of complex compact manifolds~: Moishezon manifolds. In the first part, we generalize J.-P. Demailly's holomorphic Morse…
Laurent BonaveroDec 20, 1995
Learn
Remarks on numerical semigroups
We extend results on Weierstrass semigroups at ramified points of double covering of curves to any numerical semigroup whose genus is large enough. As an application we strengthen the properties…
Fernando TorresDec 19, 1995
Learn
On Invariant Theory
Here we develop a technique of computing the invariants of n-ary forms and systems of forms using the discriminants of corresponding multilinear forms built of their partial derivatives, which…
Valeri V. DolotinDec 14, 1995
Learn
Mathematics in and out of String Theory
We first give an exposition of how the Polyakov path integral for the bosonic string produces a natural mapping class group invariant measure, d(Poly), on the Teichmüller space of Riemann surfaces…
Subhashis NagDec 14, 1995
Learn
On Macaulayfication of certain quasi-projective schemes
The notion of Macaulayfication, which is analogous of the desingularization, was introduced by Faltings in 1978 and he construct a Macaulayfication of quasi-projective scheme whose non-Cohen-Macaulay…
Takesi KawasakiDec 14, 1995
Learn
← PreviousPage 25Next →