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Algebraic Geometry papers — page 21

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Descent from the form ring and Buchsbaum rings
There is a spectral sequence technique in order to estimate the local cohomology of a ring by the local cohomology of a certain form ring. As applications there are information on the descent of…
Peter SchenzelJun 3, 1996
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Symmetric polynomials and divided differences in formulas of intersection theory
The goal of the paper is two-fold. At first, we attempt to give a survey of some recent applications of symmetric polynomials and divided differences to intersection theory. We discuss: polynomials…
Piotr PragaczMay 28, 1996
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On Contractions of smooth varieties
Let : X Z be a proper surjective map from a smooth complex manifold X onto a normal variety Z. If has connected fibers and -KX is -ample then is called a good…
Marco Andreatta, Jarosław A. WiśniewskiMay 23, 1996
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Complete Intersections K-Theory and Chern Classes
Throughout this abstruct A will denote a noetherian commutative ring of dimension n. The paper has two parts. Among the interesting results in Part-1 are the following: 1) suppose that $f1,…
Satya MandalMay 23, 1996
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Cycles on the Moduli Space of Abelian Varieties
In this paper a number of results on cycles on the moduli space of principally polarized abelian varieties is presented. Results include a determination of the tautological ring, bounds on the order…
Gerard van der GeerMay 22, 1996
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Sixth Painlevé Equation, Universal Elliptic Curve, and Mirror of P2
An algebro-geometric setting for the study of the Painlevé VI equation is introduced. Hamiltonian form of the equation is realized on a twisted relative cotangent bundle to the universal elliptic…
Yu. I. ManinMay 22, 1996
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A construction of separated quotient space and boundaries of symmetric spaces
We propose a construction of separated quotient space and apply this construction for simple description of Study-Semple-Satake-Furstenberg-De Concini-Procesi-Oshima boundary of symmetric space
Yu. A. NeretinMay 21, 1996
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On Genera of Smooth Curves in Higher Dimensional Varieties
We prove that for any smooth projective variety X of dimension ≥ 3, there exists an integer g0=g0(X), such that for any integer g ≥ g0, there exists a smooth curve C in X with…
Jungkai Alfred ChenMay 15, 1996
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Curves in the complement of a smooth plane cubic whose normalizations are A1
For a smooth plane cubic B, we count curves C of degree d such that the normalizations of C B are isomorphic to A1, for d≤7 (for d=7 under some assumption). We also…
Nobuyoshi TakahashiMay 13, 1996
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Donaldson and Seiberg-Witten invariants of algebraic surfaces
This paper, yet another account of Seiberg-Witten theory and its consequences for algebraic surfaces, is the written version of the author's talk at the Santa Cruz conference.
Robert FriedmanMay 13, 1996
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Double coset construction of moduli space of holomorphic bundles and Hitchin systems
We present a description of the moduli space of holomorphic vector bundles over Riemann curves as a double coset space which is differ from the standard loop group construction. Our approach is based…
A. Levin, M. OlshanetskyMay 13, 1996
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Rank-2 ample vector bundles on some smooth rational surfaces
Some classification results for ample vector bundles of rank 2 on Hirzebruch surfaces, and on Del Pezzo surfaces, are obtained. In particular, we classify rank-2 ample vector bundles with c2 less…
Hironobu IshiharaMay 13, 1996
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On Extremal Contractions from Threefolds to Surfaces: the Case of One non-Gorenstein Point
Let f X S be an extremal contraction from a threefold with only terminal singularities to a surface. We study local analytic structure such contractions near degenerate fiber C in the…
Yuri G. ProkhorovMay 11, 1996
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On the existence of good divisors on Fano varieties of coindex 3
We prove that the linear system |-1/3KX| on a non-singular Fano fivefold X$ of index 3 contains an irreducible divisor with only canonical singularities.
Yuri G. ProkhorovMay 11, 1996
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Vector Bundles and Arithmetical Groups I. The higher Bruhat-Tits tree
We define and study a simplicial complex which is a homogeneous space for the group PGL(2, K) over a two-dimensional local field K. The complex is a generalization of the tree studied by F.…
A. N. ParshinMay 7, 1996
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On an unusual conjecture of Kontsevich and variants of Castelnuovo's lemma
Let A=(aij) be an orthogonal matrix with no entries zero. Let B=(bij) be the matrix defined by bij= 1aij. M. Kontsevich conjectured that the rank of B is never equal to three.…
J. M. LandsbergApr 29, 1996
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A high fibered power of a family of varieties of general type dominates a variety of general type
We prove the following theorem: Fibered Power Theorem: Let X B be a smooth family of positive dimensional varieties of general type, with B irreducible. Then there exists an integer n>0, a…
Dan AbramovichApr 29, 1996
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The Chow Ring of the Non-Linear Grassmannian
Let MPk(Pr, d) be the moduli space of unparameterized maps μ:Pk -> Pr satisfying μ*(O(1))= O(d). MPk(Pr,d) is a quasi-projective variety, and, in case k=1, MP1(Pr,d) is the…
R. PandharipandeApr 28, 1996
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The Symmetric Function h0(M0,n, L1x1 ... Lnxn)
Let M0,n be the moduli space of pointed, genus 0 curves. Let Li denote the line bundle on M0,n associated to the i-th marked point (the fiber of Li is the cotangent space of the…
R. PandharipandeApr 28, 1996
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Commutative Algebras of Ordinary Differential Operators with Matrix Coefficients
A classification of commutative integral domains consisting of ordinary differential operators with matrix coefficients is established in terms of morphisms between algebraic curves.
Masato Kimura, Motohico MulaseApr 28, 1996
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Recursive Formulas for the Characteristic Numbers of Rational Plane Curves
We derive recursive equations for the characteristic numbers of rational nodal plane curves with at most one cusp, subject to point conditions, tangent conditions and flag conditions, developing…
Lars Ernström, Gary KennedyApr 28, 1996
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Eisenstein series and quantum affine algebras
Let X be a smooth projectibe curve over a finite field. We consider the Hall algebra H whose basis is formed by isomorphism classes of coherent sheaves on X and whose typical structure constant is…
M. M. KapranovApr 26, 1996
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Theta line bundles and the determinant of the Hodge bundle
In this note we examine the question of expressing the determinant of the push forward of a symmetric line bundle on an abelian fibration in terms of the pull back of the relative dualizing sheaf via…
Alexis KouvidakisApr 25, 1996
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Floppy Curves with Applications to Real Algebraic Curves
We show how one may sometimes perform singular ambient surgery on the complex locus of a real algebraic curve and obtain what we call a floppy curve. A floppy curve is a certain kind of singular…
Patrick M. GilmerApr 24, 1996
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Symmetries of Surface Singularities
The automorphism group Aut\: X of a weighted homogeneous normal surface singularity X has a maximal reductive algebraic subgroup G which contains every reductive algebraic subgroup of…
Gerd MüllerApr 24, 1996
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