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Algebraic Geometry papers — page 17

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Mathematical Aspects of Mirror Symmetry
Lecture notes from 1993 Park City lectures and 1994 Trento lectures. The focus of these lectures is on giving a mathematical description of the A-model and B-model correlation functions on a…
David R. MorrisonSep 26, 1996
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Non-abelian Seiberg-Witten theory and projectively stable pairs
We introduce the concept of SpinG-structure in a SO-bundle, where G⊂ U(V) is a compact Lie group containing -idV. We study and classify SpinG(4)-structures on 4-manifolds, we introduce…
Andrei TelemanSep 26, 1996
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Equivariant intersection theory
This is a revised and shortened version of our paper "Equivariant intersection theory" (alg-geom/9603008). In particular, the sections on Riemann-Roch and localization are omitted. They will…
Dan Edidin, William GrahamSep 25, 1996
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Secants of Abelian Varieties, Theta functions, and Soliton Equations
This paper is a survey on relations between secant identities and soliton equations and applications of soliton equations to problems of algebraic geometry, i.e., the Riemann-Schottky problem and its…
I. A. TaimanovSep 25, 1996
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The Verlinde formula for PGL(p)
Let G be a complex semi-simple group, X a Riemann surface, MG the moduli space of principal G-bundles on X. When G is simply-connected, there exists a closed formula expressing the dimension of the…
Arnaud BeauvilleSep 24, 1996
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Torsion algebraic cycles and complex cobordism
We show that the cycle map on a variety X, from algebraic cycles modulo algebraic equivalence to integer cohomology, lifts canonically to a topologically defined quotient of the complex cobordism…
Burt TotaroSep 23, 1996
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Moduli of vector-bundles on surfaces
This is a survey paper: we discuss certain recent results, with some improvements. It will appear in the S. Cruz proceedings.
Kieran O'GradySep 20, 1996
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Algebraic (geometric) n-stacks
We propose a generalization of Artin's definition of algebraic stack, which we call geometric n-stack. The main observation is that there is an inductive structure to the definition…
Carlos SimpsonSep 17, 1996
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Equivariant resolution of singularities in characteristic 0
A new proof of equivariant resolution of singularities under a finite group action in characteristic 0 is provided. We assume we know how to resolve singularities without group action. We first prove…
Dan Abramovich, Jianhua WangSep 16, 1996
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A linear lower bound on the gonality of modular curves
The result in the title is proven, using the Selberg estimate on the leading eigenvalue of the non-Euclidean Laplacian, and the method of conformal volumes of Li and Yau.
Dan AbramovichSep 16, 1996
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Algebraic structures on hyperkaehler manifold
Let M be a compact hyperkaehler manifold. The hyperkaehler structure equips M with a set R of complex structures parametrized by CP1, called "the set of induced complex structures".…
Misha VerbitskySep 14, 1996
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Counting rational curves with multiple points and Gromov-Witten invariants of blow-ups
We study Gromov-Witten invariants on the blow-up of Pn at a point, which is probably the simplest example of a variety whose moduli spaces of stable maps do not have the expected dimension. It is…
A. GathmannSep 14, 1996
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Resolution for Sheaf of Differential Operators on Smooth Free Geometric Quotient of Linear Action of Algebraic Group
We obtain a global resolution for the sheaf of differential operators on smooth geometric quotients of free linear actions of algebraic groups. The terms of our resolution involve symmetric and…
Gwoho LiuSep 13, 1996
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Density and completeness of subvarieties of moduli spaces of curves or abelian varieties
Let V be a subvariety of codimension ≤ g of the moduli space g of principally polarized abelian varieties of dimension g or of the moduli space g of curves of compact type of…
E. IzadiSep 13, 1996
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Enumerative geometry for real varieties
We discuss the problem of whether a given problem in enumerative geometry can have all of its solutions be real. In particular, we describe an approach to problems of this type, and show how this can…
Frank SottileSep 12, 1996
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One-parameter families containing three-dimensional toric Gorenstein singularities
For affine toric varieties, the vector space T1 (containing the infinitesimal deformations) will be interpreted via Minkowski summands of cross cuts of the defining polyhedral cone. This result will…
Klaus AltmannSep 11, 1996
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Straight--Line Programs in Geometric Elimination Theory
We present a new method for solving symbolically zero--dimensional polynomial equation systems in the affine and toric case. The main feature of our method is the use of problem adapted data…
M. Giusti, J. Heintz, J. E. Morais et al.Sep 6, 1996
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Polar Varieties, Real Equation Solving and Data-Structures: The hypersurface case
In this paper we apply for the first time a new method for multivariate equation solving which was developed in gh1, gh2, gh3 for complex root determination to the real…
B. Bank, M. Giusti, J. Heintz et al.Sep 6, 1996
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Polar Varieties and Efficient Real Equation Solving: The Hypersurface Case
The objective of this paper is to show how the recently proposed method by Giusti, Heintz, Morais, Morgenstern, Pardo gihemorpar can be applied to a case of real polynomial equation solving.…
B. Bank, M. Giusti, J. Heintz et al.Sep 6, 1996
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Algebraically Constructible Functions and Signs of Polynomials
We show that on real algebraic sets algebraically constructible functions coincide with the finite sums of signs of polynomials. Then we give some applications.
Adam Parusinski, Zbigniew SzafraniecSep 5, 1996
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Equations of (1,d)-polarized Abelian Surfaces
We study the equations of abelian surfaces embedded in Pn-1 with a line bundle of polarization of type (1,n). For n>9, we show that the ideal of a general abelian surface with this polarization is…
Mark Gross, Sorin PopescuSep 4, 1996
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The ring of global sections of multiples of a line bundle on a toric variety
In this article we prove, in a simple way, that for any complete toric variety, and for any Cartier divisor, the ring of global sections of multiples of the line bundle associated to the divisor is…
E. Javier ElizondoAug 29, 1996
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Estimates of the number of rational mappings from a fixed variety to varieties of general type
First we find effective bounds for the number of dominant rational maps f:X → Y between two fixed smooth projective varieties with ample canonical bundles. The bounds are of the type $\A…
T. Bandman, G. DethloffAug 29, 1996
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Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds
We construct Gromov-Witten invariants of general symplectic manifolds.
Jun Li, Gang TianAug 26, 1996
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Monodromy of hypergeometric functions arising from arrangements of hyperplanes
Given an arrangement of hyperplanes in ¶n, possibly with non-normal crossings, we give a vanishing lemma for the cohomology of the sheaf of q-forms with logarithmic poles along our arrangement.…
Herbert KanarekAug 26, 1996
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