Skip to content

Algebraic Geometry papers — page 16

alg-geomBrowse archive

On framed instanton bundles and their deformations
We consider a compact twistor space P and assume that there is a surface S in P, which has degree one on twistor fibres and contains a twistor fibre F, e.g. P a LeBrun twistor space. Similar to…
Andreas MatuschkeNov 1, 1996
Learn
On maximal curves
We study arithmetical and geometrical properties of maximal curves, that is, curves defined over the finite field Fq2 whose number of Fq2-rational points reaches the Hasse-Weil upper bound.…
Rainer Fuhrmann, Arnaldo Garcia, Fernando TorresOct 31, 1996
Learn
Automorphic Forms and Lorentzian Kac--Moody Algebras. Part I
Using the general method which was applied to prove finiteness of the set of hyperbolic generalized Cartan matrices of elliptic and parabolic type, we classify all symmetric (and twisted to…
Valeri A. Gritsenko, Viacheslav V. NikulinOct 31, 1996
Learn
Jack polynomials and Hilbert schemes of points on surfaces
The Jack symmetric polynomials Pλ(α) form a class of symmetric polynomials which are indexed by a partition λ and depend rationally on a parameter α. They reduced to the Schur polynomials…
Hiraku NakajimaOct 31, 1996
Learn
Weil-Petersson geometry and determinant bundles on inductive limits of moduli spaces
In an earlier paper [Acta Mathematica, v. 176, 1996, 145-169, alg-geom/9505024 ] the present authors and Dennis Sullivan constructed the universal direct system of the classical Teichmüller spaces of…
Indranil Biswas, Subhashis NagOct 31, 1996
Learn
The Laumon's resolution of Drinfeld's compactification is small
Let C be a smooth projective curve of genus 0. Let be the variety of complete flags in an n-dimensional vector space V. Given an (n-1)-tuple α of positive integers one can consider…
Alexander KuznetsovOct 27, 1996
Learn
Equations Defining Toric Varieties
This article will appear in the proceedings of the AMS Summer Institute in Algebraic Geometry at Santa Cruz, July 1995. The topic is toric ideals, by which I mean the defining ideals of subvarieties…
Bernd SturmfelsOct 26, 1996
Learn
Prime rings with PI rings of constants
It is shown that if the ring of constants of a restricted differential Lie algebra with a quasi-Frobenius inner part satisfies a polynomial identity (PI) then the original prime ring has a…
V. K. Kharchenko, J. Keller, S. Rodriguez-RomoOct 15, 1996
Learn
Arithmetically Cohen--Macaulay curves in P4 of degree 4 and genus 0
We show that the arithmetically Cohen--Macaulay (ACM) curves of degree 4 and genus 0 in P4 form an irreducible subset of the Hilbert scheme. Using this, we show that the singular locus of…
Mireille Martin-Deschamps, Ragni PieneOct 15, 1996
Learn
Universal Einstein-Hermitian Metrics
Lemma 3.4 is wrong.
L. Brambila-Paz, N. RaghavendraOct 14, 1996
Learn
Moduli Spaces of Parabolic Higgs Bundles and Parabolic K(D) Pairs over Smooth Curves: I
This paper concerns the moduli spaces of rank two parabolic Higgs bundles and parabolic K(D) pairs over a smooth curve. Precisely which parabolic bundles occur in stable K(D), pairs and stable Higgs…
H. U. Boden, K. YokogawaOct 11, 1996
Learn
Rationality of Moduli Spaces of Parabolic Bundles
The moduli space of parabolic bundles with fixed determinant over a smooth curve of genus greater than one is proved to be rational whenever one of the multiplicities associated to the…
H. U. Boden, K. YokogawaOct 11, 1996
Learn
Monomial Resolutions
Call a monomial ideal M "generic" if no variable appears with the same nonzero exponent in two distinct monomial generators. Using a convex polytope first studied by Scarf, we obtain a…
Dave Bayer, Irena Peeva, Bernd SturmfelsOct 11, 1996
Learn
Special points on the product of two modular curves
We prove, assuming the Generalized Riemann Hypothesis for imaginary quadratic fields, that irreducible curves in the product of two modular curves that contain infinitely many complex multiplication…
Bas EdixhovenOct 11, 1996
Learn
Deformations of trianalytic subvarieties of hyperkähler manifolds
Let M be a compact complex manifold equipped with a hyperkähler metric, and X be a closed complex analytic subvariety of M. In alg-geom/9403006, we proved that X is trianalytic, i. e.,…
Misha VerbitskyOct 9, 1996
Learn
Hilbert-Kunz functions of cubic curves and surfaces
We determine the Hilbert-Kunz function of plane elliptic curves in odd characteristic, as well as over arbitrary fields the generalized Hilbert-Kunz functions of nodal cubic curves. Together with…
Ragnar-Olaf Buchweitz, Qun ChenOct 9, 1996
Learn
The Rank Stable Topology of Instantons on
Let kn be the moduli space of based (anti-self-dual) instantons on of charge k and rank n. There is a natural inclusion of rank n instantons into rank n+1. We show that the…
Jim Bryan, Marc SandersOct 9, 1996
Learn
Chow motives of elliptic modular surfaces and threefolds
The main result of this paper is the proof for elliptic modular threefolds of conjectures on the existence and structure of a filtration on the Chow groups of smooth projective varieties. In the form…
B. Brent Gordon, Jacob P. MurreOct 6, 1996
Learn
Bounds for the Hilbert function of polynomial ideals and for the degrees in the Nullstellensatz
We present a new effective Nullstellensatz with bounds for the degrees which depend not only on the number of variables and on the degrees of the input polynomials but also on an additional parameter…
Martin SombraOct 4, 1996
Learn
Resolutions of Orbifold Singularities and Flows on the McKay Quiver
Let Γ be a finite group acting linearly on n, freely outside the origin. In previous work a generalisation of Kronheimer's construction of moduli of Hermitian-Yang-Mills bundles with…
Alexander V Sardo-InfirriOct 4, 1996
Learn
Partial Resolutions of Orbifold Singularities via Moduli Spaces of HYM-type Bundles
Let Γ be a finite group acting linearly on n, freely outside the origin, and let N be the number of conjugacy classes of Γ minus one. A construction of Kronheimer of moduli spaces Xζ of…
Alexander V Sardo InfirriOct 4, 1996
Learn
Specialization of integral dependence for modules
We establish the principle of specialization of integral dependence for submodules of finite colength of free modules, as part of the general algebraic-geometric theory of the Buchsbaum--Rim…
T. Gaffney, S. KleimanOct 3, 1996
Learn
Linearization of group stack actions and the Picard group of the moduli of r/μs-bundles on a curve
We first study the descent theory of line bundles under a morphism which is tors or under a group stack and then use this technical result to determine the exact structure of (G) where…
Yves LaszloOct 3, 1996
Learn
Crepant Terminalisations and Orbifold Euler Numbers for SL(4) Singularities
Let X and Y be two analytic canonical Gorenstein orbifolds. A resolution of singularities Y X is called an Euler resolution if Y and X have the same orbifold Euler number. If Y is only…
Alexander V. Sardo InfirriOct 1, 1996
Learn
Automorphic forms with singularities on Grassmannians
We construct some families of automorphic forms on Grassmannians which have singularities along smaller sub Grassmannians, using Harvey and Moore's extension of the Howe (or theta) correspondence…
Richard E. BorcherdsSep 29, 1996
Learn
← PreviousPage 16Next →