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Algebraic Geometry papers — page 44

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Vector bundles and SO(3) invariants for elliptic surfaces III: The case of odd fiber degree
This paper, the last in a series of three, studies vector bundles on an elliptic surface whose determinant has odd intersection number with a general fiber and uses this study to calculate certain…
Robert FriedmanAug 23, 1993
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Some remarks on the Kronheimer-Mrowka classes of algebraic surfaces
Define the Donaldson series of a simply connected 4-manifold by q(X) = Σd qd(X)/d! Recently Kronheimer and Mroka have announced the result that the Donaldson series of so called simple…
R. BrusseeAug 20, 1993
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The Euler Series of Restricted Chow Varieties
Let X be an algebraic projective variety in Pn. Denote by Cλ the space of all effective cycles on X whose homology class is λ∈ H2p (X, Z). It is easy to show that Cλ…
Javier ElizondoAug 11, 1993
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On the Griffiths group of the cubic sevenfold
We prove that the Griffiths group of 3-cycles homologous to zero modulo algebraic equivalence, on a generic hypersurfaces of dimension 7 and degree 3 is not finitely generated, even when tensored…
Alberto Albano, Alberto CollinoAug 3, 1993
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Generalized Hypergeometric Functions and Rational Curves on Calabi-Yau Complete Intersections in Toric Varieties
We formulate general conjectures about the relationship between the A-model connection on the cohomology of a d-dimensional Calabi-Yau complete intersection V of r hypersurfaces $V1, …,…
Victor V. Batyrev, Duco van StratenJul 30, 1993
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Hyperkaehler and holomorphic symplectic geometry
We prove that all complex analytic subvarieties of a generic compact hyperkaehler manifold are even-dimensional. Moreover, these subvarieties are holomorphically symplectic.
Misha VerbitskyJul 29, 1993
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Hyperholomorphic bundles
Hyperholomorphic bundle is a bundle with connection defined over a hyperkaehler manifold such that this connection is holomorphic with respect to all complex structures induced by a hyperkaehler…
Misha VerbitskyJul 29, 1993
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Compactified Jacobian of some Singular Curves
We look at the decomposition of the compactified jacobian of a singular curve into components and discuss some examples.
Jyotsna GokhaleJul 24, 1993
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Boundary of the Picard Group of a Singular Curve
In this work we explore the boundary of the jacobian of a singular curve in the compactified picard group. We formulate a functor that helps to determine this boundary and show that this functor is…
Jyotsna GokhaleJul 24, 1993
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Duistermaat-Heckman measures in a non-compact setting
We prove a ðtype formula in a suitable non-compact setting. We use this formula to evaluate explicitly the pushforward of the Liouville measure via the moment map of both an abelian and a non-abelian…
Elisa Prato, Siye WuJul 21, 1993
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Arithmetic Bogomolov-Gieseker's inequality
Let f : X --> Spec(Z) be an arithmetic variety of dimension d >= 2 and (H, k) an arithmetically ample Hermitian line bundle on X. Let (E, h) be a rank r vector bundle on X. In this paper, we will…
Atsushi MoriwakiJul 19, 1993
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Vector bundles and SO(3) invariants for elliptic surfaces II: The case of even fiber degree
This paper is the second in a series of three devoted to the smooth classification of simply connected elliptic surfaces. In this paper, we study the case where one of the multiple fibers has even…
Robert FriedmanJul 14, 1993
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Vector bundles and SO(3) invariants for elliptic surfaces I
This paper is the first in a series of three devoted to the smooth classification of simply connected elliptic surfaces. The method is to compute some coefficients of Donaldson polynomials of SO(3)…
Robert FriedmanJul 14, 1993
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Localization for nonabelian group actions
Suppose X is a compact symplectic manifold acted on by a compact Lie group K (which may be nonabelian) in a Hamiltonian fashion, with moment map μ: X Lie(K)* and Marsden-Weinstein…
L. C. Jeffrey, F. C. KirwanJul 6, 1993
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On the Hodge Structure of Projective Hypersurfaces in Toric Varieties
This paper generalizes classical results of Griffiths, Dolgachev and Steenbrink on the cohomology of hypersurfaces in weighted projective spaces. Given a d-dimensional projective simplicial toric…
Victor V. Batyrev, David A. CoxJun 25, 1993
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Classification of smooth congruences with a fundamental curve
We give a classification and a construction of all smooth (n-1)-dimensional varieties of lines in P n verifying that all their lines meet a curve. This also gives a complete…
Enrique Arrondo, Marina Bertolini, Cristina TurriniJun 23, 1993
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On stability of tangent bundles of Fano manifolds with b2=1
In the present paper we discuss stability of the tanget bundle of a Fano n-fold of index >= n-2 and b2=1. For example, we prove that all Fano 4-folds with b2=1 have stable tangent bundle. For this…
Thomas Peternell, Jaroslaw A. WisniewskiJun 22, 1993
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Trisecant Lines And Jacobians, II
Let Θ be a symmetric theta divisor on an indecomposable principally polarized complex abelian variety X. The linear system |2Θ| defines a morphism K:X |2Θ|*, whose image is the Kummer…
Olivier DebarreJun 18, 1993
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Distribution of Energy Levels of a Quantum Free Particle on a Surface of Revolution
We prove that the error term (R) in the Weyl asymptotic formula \#\ En R2\= M 4π R2+(R), for the Laplace operator on a surface of revolution M satisfying a twist…
Pavel BleherJun 18, 1993
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Bogomolov Instability and Kawamata-Viehweg Vanishing
The purpose of this note is to show how the Kawamata-Viehweg vanishing theorem for fractional divisors leads to a quick new proof of Bogomolov's instability theorem for rank two vector bundles on…
Guillermo Fernandez del BustoJun 17, 1993
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Gromov Invariants for Holomorphic Maps from Riemann Surfaces to Grassmannians
Two compactifications of the space of holomorphic maps of fixed degree from a compact Riemann surface to a Grassmannian are studied. It is shown that the Uhlenbeck compactification has the structure…
Aaron Bertram, Georgios Daskalopoulos, Richard WentworthJun 8, 1993
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Very ample linear systems on abelian varieties
Let (X,L) be a polarized complex abelian variety of dimension g where L is a polarization of type (1,...,1,d). For (X,L) genberic we prove the following: (1) If d g+2, then $ϕL…
O. Debarre, K. Hulek, J. SpandawJun 4, 1993
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Linear Structure on Calabi-Yau Moduli Spaces
We show that the formal moduli space of a Calabi-Yau manifold Xn carries a linear structure, as predicted by mirror symmetry. This linear structure is canonically associated to a splitting of the…
Z. RanJun 3, 1993
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Picard groups of Hilbert schemes of curves
We calculate the Picard group, over the integers, of the Hilbert scheme of smooth, irreducible, non-degenerate curves of degree dand genus g ≥ 4 in Pr, in the case when $d ≥ 2g+1…
Alexis KouvidakisJun 2, 1993
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The automorphism group of the moduli space of semi stable vector bundles
Let S U(r, L0) denote the moduli space of semi stable vector bundles of rank r and fixed determinant L0 of degree d on a smooth curve C of genus g ≥ 3. In this paper we…
Alexis Kouvidakis, Tony PantevJun 2, 1993
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