Skip to content

Algebraic Geometry papers — page 33

alg-geomBrowse archive

Moduli spaces of semiquasihomogeneous singularities with fixed principal part
We construct coarse moduli spaces of semiquasihomogeneous hypersurface singularities with respect to right equivalence and contact equivalence. We have to fix the principal part of the…
G. -M. Greuel, C. Hertling, G. PfisterMar 22, 1995
Learn
The irreducibility of the moduli space of stable vector bundles of rank 2 on a quintic in 3
In this paper I consider a quintic surface in 3, general in the sense of Noether-Lefschetz theory. The vector bundles of rank 2 on this surface which are μ-stable with respect to the…
Pieter NijsseMar 22, 1995
Learn
Equianalytic and equisingular families of curves on surfaces
We consider flat families of reduced curves on a smooth surface S such that each member C has the same number of singularities of fixed singularity types and the corresponding (locally closed)…
Gert-Martin Greuel, Christoph LossenMar 21, 1995
Learn
Hitchin systems, higher Gaudin operators and r-matrices
We adapt Hitchin's integrable systems to the case of a punctured curve. In the case of P1 and SLn-bundles, they are equivalent to systems studied by Garnier. The corresponding…
B. Enriquez, V. RubtsovMar 20, 1995
Learn
Geometric Properties of the Double-Point Divisor
Let Xn ⊂ PN be a nonsingular, nondegenerate projective variety of dimension n and codimension N-n 2. Let |CX| be the linear system determined by the double-point divisor obtained…
Bo IlicMar 17, 1995
Learn
Bloch's conjecture revisited
Let X be a non-singular projective complex surface. We can show that Bloch's conjecture (i.e., that if pg=0 then the Albanese kernel vanishes) is equivalent to the following statement: If…
L. Barbieri-Viale, V. SrinivasMar 16, 1995
Learn
Quotient Spaces Modulo Algebraic Groups
The paper proves that if a reductive group scheme acts properly on a scheme then the geometric quotient exists as an algebraic space. As a consequence we obtain the existence of the moduli spcace of…
János KollárMar 16, 1995
Learn
The Langlands lemma and the Betti numbers of stacks of G--bundles on a curve
In this note we show that the Langlands lemma from the theory of Eisenstein series can be used to invert the recursion relation for the Poincaré series of the open substack of semi-stable G-bundles…
G. Laumon, M. RapoportMar 14, 1995
Learn
An algebraic version of Demailly's asymptotic Morse Inequalities
We give an elementary algebraic proof of some asymptotic estimates (called by Demailly asymptotic Morse inequalities) for the dimensions of cohomology groups of the difference of two ample line…
Flavio AngeliniMar 14, 1995
Learn
The canonical class and the C∞ properties of K\"ahler surfaces
We give a self contained proof using Seiberg Witten invariants that for K\"ahler surfaces with non negative Kodaira dimension (including those with pg = 0) the canonical class of the minimal model…
Rogier BrusseeMar 10, 1995
Learn
Reflection groups in hyperbolic spaces and the denominator formula for Lorentzian Kac--Moody Lie algebras
This is a continuation of our "Lecture on Kac--Moody Lie algebras of the arithmetic type" 25. We consider hyperbolic (i.e. signature (n,1)) integral symmetric bilinear form…
Viacheslav V. NikulinMar 10, 1995
Learn
Homology of iterated semidirect products of free groups
Let G be a group which admits the structure of an iterated semidirect product of finitely generated free groups. We construct a finite, free resolution of the integers over the group ring of G.…
Daniel C. Cohen, Alexander I. SuciuMar 7, 1995
Learn
Quasi-parabolic Siegel Formula
The result of Siegel that the Tamagawa number of SLr over a function field is 1 has an expression purely in terms of vector bundles on a curve, which is known as the Siegel formula. We prove an…
Nitin NitsureMar 2, 1995
Learn
Non--trivial harmonic spinors on generic algebraic surfaces
We disprove Hitchin's conjecture to the effect that for a generic complex structure on a simply connected spin complex surface the square root of the canonical bundle has no more cohomology then…
D. KotschickMar 1, 1995
Learn
On the blowups of numerical Godeaux surfaces
We give a short proof of the following result: Let X be a complex surface of general type. If the canonical divisor of the minimal model of X has selfintersection = 1, then X is not…
D. KotschickMar 1, 1995
Learn
Algebraic surfaces and Seiberg-Witten invariants
In this revised version, we add some expository material and references and make some minor corrections.
Robert Friedman, John W. MorganFeb 27, 1995
Learn
Linear bound for abelian automorphisms of varieties of general type
We prove: Let G be a finite abelian group acting faithfully on a complex smooth project variety X of general type with numerically effective canonical divisor, of dimension n. Then |G| …
Gang XiaoFeb 27, 1995
Learn
Traces and Differential Operators over Beilinson Completion Algebras
A Beilinson completion algebra (BCA) A is a complete semilocal algebra over a perfect field k, whose residue fields are high dimensional local fields. In addition A is a semi-topological algebra. The…
Amnon YekutieliFeb 26, 1995
Learn
Extremal contractions from 4-dimensional manifolds to 3-folds
Let g : X Y be the contraction of an extremal ray of a smooth projective 4-fold X such that Y=3. Then g may have a finite number of 2-dimensional fibers. We shall classify those…
Yasuyuki KachiFeb 25, 1995
Learn
Torsion-Free Sheaves and Moduli of Generalized Spin Curves
This article treats compactifications of the space of generalized spin curves. Generalized spin curves, or r-spin curves, are pairs (X,L) with X a smooth curve and L a line bundle whose r-th…
Tyler J. JarvisFeb 21, 1995
Learn
Koszul Property and Frobenius Splitting of Schubert Varieties
We show how the Frobenius splitting method of Mehta-Ramanathan implies the Koszul property of projective coordinate rings of Schubert varieties.
Roman BezrukavnikovFeb 20, 1995
Learn
A Compactification Over Mg Of The Universal Moduli Space of Slope-Semistable Vector Bundles
A projective moduli space of pairs (C,E) where E is a slope- semistable torsion free sheaf of uniform rank on a Deligne- Mumford stable curve C is constructed via G.I.T. There is a natural SL x SL…
R. PandharipandeFeb 17, 1995
Learn
Algebraic cohomology of the moduli space of rank 2 vector bundles on a curve
Let be the moduli space of stable holomorphic vector bundles of rank 2 and fixed determinant of odd degree, over a smooth projective curve C. This paper identifies the algebraic cohomology…
V. Balaji, A. D. King, P. E. NewsteadFeb 17, 1995
Learn
Poncelet theorems
If there is one polygon inscribed into some smooth conic and circumscribed about another one, then there are infinitely many such polygons. This is Poncelet's theorem. The aim of this note is to…
W. Barth, Th. BauerFeb 16, 1995
Learn
On the cohomology ring of the moduli space of rank 2 vector bundles on a curve
Let g be the moduli space of stable holomorphic vector bundles of rank 2 and fixed determinant of odd degree over a smooth complex projective curve of genus g. This paper proves various…
A. D. King, P. E. NewsteadFeb 16, 1995
Learn
← PreviousPage 33Next →