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Algebraic Geometry papers — page 40

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Higher-order differentials of the period map and higher Kodaira-Spencer classes
In K we introduced two variants of higher-order differentials of the period map and showed how to compute them for a variation of Hodge structure that comes from a deformation of a compact…
Yakov KarpishpanMay 12, 1994
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Geometric invariant theory and flips
We study the dependence of geometric invariant theory quotients on the choice of a linearization. We show that, in good cases, two such quotients are related by a flip in the sense of Mori, and…
Michael ThaddeusMay 10, 1994
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An Algorithmic Proof of Suslin's Stability Theorem over Polynomial Rings
Let k be a field. Then Gaussian elimination over k and the Euclidean division algorithm for the univariate polynomial ring k[x] allow us to write any matrix in SLn(k) or SLn(k[x]), $n≥…
H. Park, C. WoodburnMay 10, 1994
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The blowup formula for Donaldson invariants
In this paper we present a formula which relates the Donaldson invariants of a 4-manifold X with the Donaldson invariants of its blowup X#-CP(2). This blow-up formula is independent of X and involves…
Ronald Fintushel, Ronald SternMay 9, 1994
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Conformal blocks, fusion rules and the Verlinde formula
The Verlinde formula computes the dimension of certain vector spaces ("conformal blocks") associated to a Rational Conformal Field Theory. In this paper we show how this can be made rigorous…
A. BeauvilleMay 5, 1994
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Symplectic Forms on Moduli Spaces of Flat Connections on 2-manifolds
Let G be a compact connected semisimple Lie group. We extend the techniques of Weinstein [W] to give a construction in group cohomology of symplectic forms ω on twisted' moduli spaces of…
Lisa C. JeffreyApr 28, 1994
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Group cohomology construction of the cohomology of moduli spaces of flat connections on 2-manifolds
We use group cohomology and the de Rham complex on simplicial manifolds to give explicit differential forms representing generators of the cohomology rings of moduli spaces of representations of…
Lisa C. JeffreyApr 28, 1994
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Basic cohomology of associative algebras
We define a new cohomology for associative algebras which we compute for algebras with units.
Michel Dubois-Violette, Thierry MassonApr 28, 1994
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Computing Multidimensional Residues
Given n polynomials in n variables with a finite number of complex roots, for any of their roots there is a local residue operator assigning a complex number to any polynomial. This is an algebraic,…
Eduardo Cattani, Alicia Dickenstein, Bernd SturmfelsApr 27, 1994
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On complex surfaces diffeomorphic to rational surfaces
In this paper we prove that no complex surface of general type is diffeomorphic to a rational surface, thereby completing the smooth classification of rational surfaces and the proof of the Van de…
Robert Friedman, Zhenbo QinApr 22, 1994
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Moduli of abelian surfaces with a (1,p2) polarisation
We show that the (compactified) moduli space of abelian surfaces with a polarisation of type (1,p2) is of general type for p 11, improving a result of O'Grady.
v. A. Gritsenko, G. K. SankaranApr 21, 1994
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Crepant resolution of trihedral singularities
The purpose of this paper is to construct a crepant resolution of quotient singularities by trihedral groups ( finite subgroups of SL(3,C) of certain type ), and prove that each Euler number of the…
Yukari ItoApr 15, 1994
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Degenerations of abelian surfaces and Hodge structures
In this paper the authors consider a certain toroidal compactification of the moduli space of degenerations of (1,p)-polarized abelian surfaces with (canonical) level structure. Using Hodge theory we…
K. Hulek, J. SpandawApr 12, 1994
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On the Existence of Supersingular Curves of Given Genus
We give a method to construct explicitly a supersingular curve of given genus g in characteristic 2.
Gerard van der Geer, Marcel van der VlugtApr 12, 1994
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On curves and surfaces with projectively equivalent hyperplane sections
In this paper we describe projective curves and surfaces such that almost all their hyperplane sections are projectively equivalent. Our description is complete for curves and close to being complete…
S. L'vovskyApr 12, 1994
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Moduli of vector bundles on projective surfaces: some basic results
We prove that moduli spaces of torsion-free sheaves on a projective smooth complex surface are irreducible, reduced and of the expected dimension, provided the expected dimension is large enough.…
Kieran G. O'GradyApr 6, 1994
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Bogomolov unstability on arithmetic surfaces
In this note, we will consider an arithmetic analogue of Bogomolov unstability theorem.
Atsushi MoriwakiApr 5, 1994
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Nonnormal del Pezzo surfaces
This paper studies reduced, connected, Gorenstein surfaces with ample -K, assumed to be reducible or nonnormal. The normalisation is a union of one or more standard surfaces (scrolls and Veronese…
Miles ReidApr 5, 1994
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Vector bundles on curves and generalized theta functions: recent results and open problems
Riemann surface carries a natural line bundle, the determinant bundle. The space of sections of this line bundle (or its multiples) constitutes a natural non-abelian generalization of the spaces of…
Arnaud BeauvilleApr 5, 1994
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Groupe de Picard de la variét de modules des thêta-caracteristiques des courbes planes
Nous calculons le groupe de Picard de l'espace des modules Θ(d) des thêta-caractéristiques des courbes planes (non forcément lisses) de degré d. Nous montrons que pour d 6, le…
Christoph SorgerMar 28, 1994
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Torelli Groups and Geometry of Moduli Spaces of Curves
In this paper we give an exposition of Dennis Johnson's work on the first homology of the Torelli groups and show how it can be applied, alone and in concert with Saito's theory of Hodge modules, to…
Richard M. HainMar 27, 1994
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On Chow Rings of Fine Moduli Spaces of Modules
Let M be a complete nonsingular fine moduli space of modules over an algebra S. A set of conditions is given for the Chow ring of M to be generated by the Chern classes of certain universal…
A. D. King, Charles H. WalterMar 18, 1994
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Complexes inattendus de droites de saut (Unexpected complex of jumping lines)
We prove here the following results: th Let E a rank 2 vector bundle over P3, if C is a reduced irreducible curve of P3 such that EH is unstable for all $H∈…
Jean VallesMar 17, 1994
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Minimal discrepancies of toric singularities
This is the major revision. The main purpose of this paper is to prove that minimal discrepancies of n-dimensional toric singularities can accumulate only from above and only to minimal…
A. BorisovMar 15, 1994
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Hodge index theorem for arithmetic cycles of codimension one
In this note, we will give a partial answer for arithmetic analogues of Grothendieck's standard conjectures due to H. Gillet and C. Soule. (Remark : I changed the title of this note.)
Atsushi MoriwakiMar 12, 1994
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