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Algebraic Geometry papers — page 14

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Recent Developments in Seiberg-Witten Theory and Complex Geometry
Recent developments in Seiberg-Witten theory and relations with Complex Geometry.
Christian Okonek, Andrei TelemanDec 18, 1996
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Integrability of the twistor space for a hypercomplex manifold
A hypercomplex manifold is by definition a smooth manifold equipped with two anticommuting integrable almost complex structures. For example, every hyperkaehler manifold is canonically hypercomplex…
D. KaledinDec 18, 1996
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Blowing up determinantal cerves and varieties of codim 2
We study the blow-ups X of P3 along a proj. normal curve C. We look for very ample divisor classes on X of low degree, and we study the ideal of the embedding of X. Some result is generalized to…
A. Gimigliano, A. LorenziniDec 18, 1996
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Desingularization of singular hyperkaehler varieties II
This is a second part of alg-geom/9611015. We construct a natural hyperkaehler desingularization for all singular hyperkaehler varieties. The desingularization theorem was proven in alg-geom/9611015…
Misha VerbitskyDec 18, 1996
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Scaling Behavior on the Space of Calabi-Yau Manifolds
Recent work is reviewed which suggests that certain universal quantities, defined for all Calabi-Yau manifolds, exhibit a specific behavior which is not present for general Kähler manifolds. The…
Rolf SchimmrigkDec 12, 1996
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Relative Bogomolov's inequality and the cone of positive divisors on the moduli space of stable curves
Let f : X --> Y be a projective morphism of smooth algebraic varieties over an algebraically closed field of characteristic zero with dim f = 1. Let E be a vector bundle of rank r on X. In this…
Atsushi MoriwakiDec 12, 1996
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Strange duality, mirror symmetry, and the Leech lattice
We give a survey on old and new results concerning Arnold's strange duality. We show that most of the features of this duality continue to hold for the extension of it discovered by C. T. C. Wall…
Wolfgang EbelingDec 12, 1996
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The elliptic Gromov-Witten invariants of CP3
We present two explicit recursions which determine the elliptic Gromov-Witten invariants of CP3 in terms of the rational ones, and give a table up to degree 5. Unlike the rational Gromov-Witten…
Ezra GetzlerDec 11, 1996
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Instantons on S4 and , rank stabilization, and Bott periodicity
We study the large rank limit of the moduli spaces of framed bundles on the projective plane and the blown-up projective plane. These moduli spaces are identified with various instanton moduli spaces…
Jim Bryan, Marc SandersDec 11, 1996
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Intermediate Jacobians of moduli spaces
Let SUX(n,L) be the moduli space of rank n semistable vector bundles with fixed determinant L on a smooth projective genus g curve X. Let SUXs(n,L) denote the open subset parametrizing stable…
Donu Arapura, Pramathanath SastryDec 7, 1996
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Geometry of cohomology support loci for local systems I
Let X be a Zariski open subset of a compact Kaehler manifold. In this paper, we study the set Σk(X) of one dimensional local systems on X with nonvanishing kth cohomology. We show that under…
Donu ArapuraDec 7, 1996
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Intersection theory on 1,4 and elliptic Gromov-Witten invariants
The WDVV equation is satisfied by the genus 0 correlation functions of any topological field theory in two dimensions coupled to topological gravity, and may be used to determine the genus 0…
Ezra GetzlerDec 6, 1996
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The semi-classical approximation for modular operads
The semi-classical approximation is an explicit formula of mathematical physics for the sum of Feynman diagrams with a single circuit.In this paper, we study the same problem in the setting of…
Ezra GetzlerDec 6, 1996
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A correspondence dual to McKay's
We give a dual to the McKay correspondence, involving conjugacy classes of subgroups of SU(2). We prove a determinantal formula involving both correspondences. We pose some questions concerning a…
Jean-Luc BrylinskiDec 3, 1996
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A lecture on Arithmetic Mirror Symmetry and Calabi-Yau manifolds
We extend our variant of mirror symmetry for K3 surfaces GN3 and clarify its relation with mirror symmetry for Calabi-Yau manifolds. We introduce two classes (for the models A and B) of…
Valeri A. Gritsenko, Viacheslav V. NikulinDec 3, 1996
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Stationary Phase Integrals, Quantum Toda Lattices, Flag Manifolds and the Mirror Conjecture
A generalization of the mirror conjecture is proven for the manifolds of complete flags in Cn.
Alexander GiventalDec 2, 1996
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On Kodaira energy and adjoint reduction of polarized threefolds
Here we study and classify polarized threefolds whose Kodaira energies are less than -1/2. The Kodaira energy of a polarized manifold (M, L), a pair consisting of a smooth complex algebraic variety M…
Takao FujitaNov 26, 1996
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On the semi-simplicity of the quantum cohomology algebras of complete intersections
In this short note, we study the semi-simplicity of the quantum cohomology algebra H(V, C) of a Fano complete intersection V, and show that the subspace of H(V, C) generated by the hyperplane…
Gang Tian, Geng XuNov 26, 1996
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Residue in intersection homology for quasihomogeneous singularities
Suppose M is a complex manifold of dimension n+1 and K is a hypersurface in M. By Poincaré duality we define a residue morphism res:Hk+1(M K) H2n-k(K) which…
Andrzej WeberNov 26, 1996
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Schémas de Fano
Let X be a subvariety of Pn defined by equations of degrees d =(d1,...,ds), over an algebraically closed field k of any characteristic. We study properties of the Fano scheme Fr(X) that…
O. Debarre, L. ManivelNov 26, 1996
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Rankin-Cohen Operators for Jacobi and Siegel Forms
For any non-negative integer v we construct explicitly [v/2]+1 independent covariant bilinear differential operators from Jk,m x Jk',m' to Jk+k'+v,m+m'. As an application we…
Y. Choie, W. EholzerNov 26, 1996
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Irregular canonical double surfaces
We study minimal surfaces X of general type with K2X=6pg-14 and q(X)>0 such that KX is ample, the image of the canonical map is a canonically embedded surface of general type and the…
Margarida Mendes Lopes, Rita PardiniNov 25, 1996
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Counting curves on surfaces: a guide to new techniques and results
This is a survey describing recents developments in enumerative geometry of curves on projective varieties. Various methods to arrive at results such as Kontsevich's formula for plane rational…
Lucia CaporasoNov 25, 1996
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Automorphic Forms and Lorentzian Kac-Moody Algebras. Part II
We give variants of lifting construction, which define new classes of modular forms on the Siegel upper half-space of complex dimension 3 with respect to the full paramodular groups (defining moduli…
Valeri A. Gritsenko, Viacheslav V. NikulinNov 24, 1996
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Differential forms on singular varieties and cyclic homology
A classical result of A. Connes asserts that the Frechet algebra of smooth functions on a smooth compact manifold X provides, by a purely algebraic procedure, the de Rham cohomology of X. Namely the…
Jean-Paul Brasselet, André LegrandNov 23, 1996
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