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Algebraic Geometry papers — page 28

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The Canonical Class of M0,n(Pr,d) And Enumerative Geometry
D. Abramovich found an error in the singularity analysis in the first posting of this paper affecting one formula (Thanks Dan).The error has been corrected. Only the arithmetic genus formula has…
R. PandharipandeSep 3, 1995
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Free Resolutions of Fat Point Ideals on P2
By defining a fat point subscheme of P2 to be a 0-dimensional subscheme defined by a sheaf of integrally closed ideals one extends the notion of fat point subschemes to allow infinitely near…
Brian HarbourneSep 1, 1995
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Anticanonical Rational Surfaces
A determination of the fixed components, base points and irregularity is made for arbitrary numerically effective divisors on any smooth projective rational surface having an effective anticanonical…
Brian HarbourneSep 1, 1995
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Generators for Symbolic Powers of Ideals Defining General Points of P2
Given distinct points p1,·s,pr of the projective plane P2 and a positive integer m, the homogeneous ideal defining the fat point subscheme Z=m(p1+·s+pr) is the symbolic power…
Brian HarbourneSep 1, 1995
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Quotients by Groupoids
We show that if a flat group scheme acts properly, with finite stabilizers, on an algebraic space, then a quotient exists as a separated algebraic space. More generally we show any flat groupid for…
Sean Keel, Shigefumi MoriAug 25, 1995
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On the quantum cohomology of the plane, old and new
We describe a method for counting maps of curves of given genus (and variable moduli) to P2, essentially by splitting the P2 in two; then specialising to the case of genus 0 we show…
Ziv RanAug 23, 1995
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Actions of groups of birationally extendible automorphisms
We study the actions of a Lie group G by birationally extendible automorphisms on a domain D⊂ Cn. For a large class of such domains defined by polynomial inequalities, all automorphisms…
Alan Huckleberry, Dmitri ZaitsevAug 22, 1995
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Zagier's conjecture on L(E,2)
In this paper we introduce an elliptic analog of the Bloch-Suslin complex and prove that it (essentially) computes the weight two parts of the groups K2(E) and K1(E) for an elliptic curve E…
A. B. Goncharov, A. M. LevinAug 17, 1995
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Frobenius morphisms over Z/p2 and Bott vanishing
Let X be a smooth projective algebraic variety over Z/p, which has a flat lift to a scheme X' over Z/p2. If the absolute Frobenius morphism F on X lifts to a morphism on X',…
A. Buch, J. F. Thomsen, N. Lauritzen et al.Aug 17, 1995
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Geometry of plane curves via Tschirnhausen resolution tower
We show the existence of toric resolution tower for an irreducible curve singularity which is explicitly described by Tschirnhausen polynomials. We deduce for a smooth affine plane curve from its…
Norbert A'Campo, Mutsuo OkaAug 16, 1995
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Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
This article contains an elementary constructive proof of resolution of singularities in characteristic zero. Our proof applies in particular to schemes of finite type and to analytic spaces (so we…
Edward Bierstone, Pierre MilmanAug 15, 1995
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Topological Classifying Spaces of Lie Algebras and the Natural Completion of Contractions
The space Kn of all n-dimensional Lie algebras has a natural non-Hausdorff topology kn, which has characteristic limits, called transitions, A -> B, between distinct Lie algebras A and B. The…
M. RainerAug 15, 1995
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Grothendieck topologies and deformation theory II
This paper is a continuation of ``Operads, Grothendieck topologies and deformation theory'' (alg-geom/9502010). We show how to develop a cohomology theory that would control deformations of a…
Dennis GaitsgoryAug 8, 1995
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Heights for line bundles on arithmetic surfaces
For line bundles on arithmetic varieties we construct height functions using arithmetic intersection theory. In the case of an arithmetic surface, generically of genus g, for line bundles of degree g…
Joerg JahnelAug 6, 1995
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Modular subvarieties of arithmetic quotients of bounded symmetric domains
Arithmetic quotients are quotients of bounded symmetric domains by arithmetic groups, and modular subvarieties of arithmetic quotients are themselves arithmetic quotients of lower dimension which…
Bruce HuntAug 2, 1995
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Localization in equivariant intersection theory and the Bott residue formula
The purpose of this paper is to prove the localization theorem for torus actions in equivariant intersection theory. Using the theorem we give another proof of the Bott residue formula for Chern…
Dan Edidin, William GrahamAug 1, 1995
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Spectral curves, algebraically completely integrable Hamiltonian systems, and moduli of bundles
This is the expanded text of a series of CIME lectures. We present an algebro-geometric approach to integrable systems, starting with those which can be described in terms of spectral curves. The…
Ron Donagi, Eyal MarkmanJul 31, 1995
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Degenaration of Calabi-Yau Manifold with W-P Metric
In this paper we focus on determining for which degenerations the central fibre is at finite distance with respect to Weil-Petersson metric. We obtain a simple condition on the limiting mixed Hodge…
Yoshiko HayakawaJul 28, 1995
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Correlation for Surfaces of General Type
The main geometric result of this paper is that given any family of surfaces of general type f:X-->B, for sufficiently large n the fiber product XnB dominates a variety of general type. This result…
Brendan HassettJul 26, 1995
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All strictly exceptional collections in Dbcoh(Pm) consist of vector bundles
It is proved that any strictly exceptional collection generating the derived category of coherent sheaves on a smooth projective variety X with K0(X) = X + 1 constists of locally free…
Leonid PositselskiJul 26, 1995
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Descent, Motives and K-theory
To an arbitrary variety over a field of characteristic zero, we associate a complex of Chow motives, which is, up to homotopy, unique and bounded. We deduce that any variety has a natural Euler…
Henri Gillet, Christophe SouleJul 21, 1995
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Heisenberg algebra and Hilbert schemes of points on projective surfaces
I have just replaced the first line by %&amslplain in order to be compiled by AMS-LaTeX.
Hiraku NakajimaJul 20, 1995
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A Projective Surface of Degree Eight with 168 Nodes
The estimate for the maximal number of ordinary double points of a projective surface of degree eight is improved to 168≤μ(8)≤ 174 by constructing a projective surface of degree eight with…
Stephan EndrassJul 19, 1995
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Koszul duality and Galois cohomology
It it shown that the Bloch-Kato conjecture on the norm residue homomorphism KM(F)/l H*(GF,Z/l) follows from its (partially known) low-degree part under the assumption that the Milnor…
Leonid Positselski, Alexander VishikJul 11, 1995
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The Gauss map and the dual variety of real-analytic submanifolds in a sphere or in a hyperbolic space
We study the Gauss map and the dual variety of a real-analytic immersion of a connected compact real-analytic manifold into a sphere or into a hyperbolic space. The dual variety is defined to be the…
Tohsuke UrabeJul 9, 1995
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