id large_stringlengths 9 16 | title large_stringlengths 1 382 | abstract large_stringlengths 3 6.09k | publish_date date32 | update_date date32 | categories large listlengths 1 13 | authors large_stringlengths 3 62.8k |
|---|---|---|---|---|---|---|
alg-geom/9511001 | GKZ-Generalized Hypergeometric Systems in Mirror Symmetry of Calabi-Yau
Hypersurfaces | We present a detailed study of the generalized hypergeometric system
introduced by Gel'fand, Kapranov and Zelevinski (GKZ-hypergeometric system) in
the context of toric geometry. GKZ systems arise naturally in the moduli theory
of Calabi-Yau toric varieties, and play an important role in applications of
the mirror symm... | 1995-11-01 | 2009-10-28 | [
"alg-geom",
"hep-th",
"math.AG"
] | S.Hosono, B.H.Lian and S.-T.Yau |
alg-geom/9510018 | Mixed Hodge structures of configuration spaces | The symmetric group S_n acts freely on the configuration space of n distinct
points in a quasi-projective variety. In this paper, we study the induced
action of the symmetric group S_n on the de Rham cohomology of this space,
using mixed Hodge theory, combined with methods from the theory of symmetric
functions. (We pr... | 1995-11-01 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Ezra Getzler |
alg-geom/9510017 | Explicit Enumerative Geometry for the Real Grassmannian of Lines in
Projective Space | We extend the classical Schubert calculus of enumerative geometry for the
Grassmann variety of lines in projective space from the complex realm to the
real. Specifically, given any collection of Schubert conditions on lines in
projective space which generically determine a finite number of lines, we show
there exist re... | 1995-10-31 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Frank Sottile |
alg-geom/9510016 | Infinite Grassmannians and Moduli Spaces of G-bundles | This lecture note is devoted to prove that the space of vacua is isomorphic
with the space of generalized theta functions (joint work with M.S. Narasimhan,
and A. Ramanathan) | 1995-10-30 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Shrawan Kumar |
alg-geom/9510015 | Rational curves of degree at most 9 on a general quintic threefold | We prove the following form of the Clemens conjecture in low degree. Let
$d\le9$, and let $F$ be a general quintic threefold in $\IP^4$. Then (1)~the
Hilbert scheme of rational, smooth and irreducible curves of degree $d$ on $F$
is finite, nonempty, and reduced; moreover, each curve is embedded in $F$ with
normal bundl... | 1995-10-30 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Trygve Johnsen and Steven L. Kleiman |
alg-geom/9510014 | Manin's conjecture for toric varieties | We prove an asymptotic formula conjectured by Manin for the number of
$K$-rational points of bounded height with respect to the anticanonical line
bundle for arbitrary smooth projective toric varieties over a number field $K$. | 1995-10-26 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Victor V. Batyrev and Yuri Tschinkel |
alg-geom/9510013 | Second N=1 Superanalog of Complex Structure | We found another N=1 odd superanalog of complex structure (the even one is
widely used in the theory of super Riemann surfaces). New N=1
superconformal-like transformations are similar to anti-holomorphic ones of
nonsupersymmetric complex function theory. They are dual to the ordinary
superconformal transformations sub... | 1995-10-19 | 2009-10-28 | [
"alg-geom",
"hep-th",
"math.AG"
] | Steven Duplij |
alg-geom/9510012 | Lectures on Seiberg-Witten Invariants | These are yet another lecture notes on Seiberg-Witten invariants, where no
claim of originality is made, they contain a discussion of some related results
from the recent literature. | 1995-10-15 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Selman Akbulut (Michigan State University) |
alg-geom/9510011 | Parabolic Higgs bundles and Teichm\"uller spaces for punctured surfaces | In this paper we study the relation between parabolic Higgs bundles and
irreducible representations of the fundamental group of punctured Riemann
surfaces established by Simpson. We generalize a result of Hitchin, identifying
those parabolic Higgs bundles that correspond to Fuchsian representations. We
also study the H... | 1995-10-14 | 2007-07-31 | [
"alg-geom",
"hep-th",
"math.AG"
] | Indranil Biswas, Pablo Gastesi and Suresh Govindarajan |
alg-geom/9510010 | Quantum cohomology of projective bundles over $\Pee^n$ | Results in the preliminary version have been strengthed. In addition,
Batyrev's conjectural formula for quantum cohomology of projective bundles
associated to direct sum of line bundles over $\Pee^n$ is partially verified. | 1995-10-14 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Zhenbo Qin and Yongbin Ruan |
alg-geom/9510009 | Nilpotent groups and universal coverings of smooth projective varieties | In this paper we prove that the universal cover of a smooth projective
variety with nilpotent fundamental group is holomorphically convex. | 1995-10-13 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Ludmil Katzarkov |
alg-geom/9510008 | K3 surfaces, Lorentzian Kac--Moody algebras and Mirror Symmetry | We consider the variant of Mirror Symmetry Conjecture for K3 surfaces which
relates "geometry" of curves of a general member of a family of K3 with
"algebraic functions" on the moduli of the mirror family. Lorentzian Kac--Moody
algebras are involved in this construction. We give several examples when this
conjecture is... | 1995-10-08 | 2008-02-03 | [
"alg-geom",
"hep-th",
"math.AG",
"math.QA",
"q-alg"
] | Valeri A. Gritsenko and Viacheslav V. Nikulin |
alg-geom/9510006 | Some Remarks on Beilinson Adeles | This paper contains two remarks on Beilinson's adeles with values in the De
Rham complex of a scheme. The first is an interpretation, in terms of adeles,
of the decomposition of the De Rham complex on a scheme defined modulo $p^{2}$
(the result of Deligne-Illusie). The second remark is about the possible
relation betwe... | 1995-10-05 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Amnon Yekutieli |
alg-geom/9510005 | On the Brill-Noether Problem for Vector Bundles | On an arbitrary compact Riemann surface, necessary and sufficient conditions
are found for the existence of semistable vector bundles with slope between
zero and one and a prescribed number of linearly independent holomorphic
sections. Existence is achieved by minimizing the Yang-Mills-Higgs functional. | 1995-10-05 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Georgios Daskalopoulos, and Richard Wentworth |
alg-geom/9510007 | Smooth Formal Embeddings and the Residue Complex | Let \pi : X -> S be a finite type morphism of noetherian schemes. A smooth
formal embedding of X (over S) is a bijective closed immersion X -> \frak{X},
where \frak{X} is a noetherian formal scheme, formally smooth over S. An
example of such an embedding is the formal completion \frak{X} = Y_{/X} where X
\subset Y is a... | 1995-10-05 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Amnon Yekutieli |
alg-geom/9510004 | On Fujita's freeness conjecture for 3-folds and 4-folds | The result on 3-fold is now optimal by the result of Ein-Lazarsfeld and
Helmke. | 1995-10-03 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Yujiro Kawamata |
alg-geom/9510001 | The weight-two Hodge structure of moduli spaces of sheaves on a K3
surface | We prove that the weight-two Hodge structure of moduli spaces of torsion-free
sheaves on a K3 surface is as described by Mukai (the rank is arbitrary but we
assume the first Chern class is primitive). We prove the moduli space is an
irreducible symplectic variety (by Mukai's work it was known to be symplectic).
By work... | 1995-10-02 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Kieran G. O'Grady |
alg-geom/9510002 | Finiteness Theorem for Sp(4,Z) | We consider Siegel upper half space of rank two ${\cal H}^2$ and different
subgroups $H\subseteq {\bf Sp(4,Z)}$ of finite index. The purpose of this paper
is to prove that the field of rational functions of ${\cal H}^2/H$ has general
type for all but the finite number of $H$. | 1995-10-02 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Lev A. Borisov |
alg-geom/9509009 | Mirror duality and string-theoretic Hodge numbers | We prove in full generality the mirror duality conjecture for
string-theoretic Hodge numbers of Calabi-Yau complete intersections in
Gorenstein toric Fano varieties. The proof is based on properties of
intersection cohomology | 1995-10-01 | 2009-10-28 | [
"alg-geom",
"hep-th",
"math.AG"
] | Victor V. Batyrev and Lev A. Borisov |
alg-geom/9509008 | Bogomolov conjecture for curves of genus 2 over function fields | In this note, we will show that Bogomolov conjecture holds for a
non-isotrivial curve of genus 2 over a function field. | 1995-10-01 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Atsushi Moriwaki |
alg-geom/9509007 | Obstruction bundles, semiregularity, and Seiberg-Witten invariants | We compare the deformation theory and the analytic structure of the
Seiberg-Witten moduli spaces of a K\"ahler surface to the corresponding
components of the Hilbert scheme, and show that they are isomorphic. Next we
show how to compute the invariant in case the moduli space is smooth but not of
the expected dimension,... | 1995-09-29 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Robert Friedman, John W. Morgan |
alg-geom/9509006 | The Toda hierarchy and the KdV hierarchy | The Toda hierarchy of size $N$ is well known to be analogous to the KdV
hierarchy at $N$ goes to infinity. This paper shows that given $f$ a periodic
function, there is a canonical way of defining the initial data for the Toda
lattice equations so that the evolution of this data under the Toda lattice
hierarchy looks a... | 1995-09-26 | 2009-10-28 | [
"alg-geom",
"math.AG"
] | D. Gieseker |
alg-geom/9509005 | Gorenstein algebras, symmetric matrices, self-linked ideals, and
symbolic powers | Inspired by recent work in the theory of central projections onto
hypersurfaces, we characterize self-linked perfect ideals of grade 2 as those
with a Hilbert--Burch matrix that has a maximal symmetric subblock. We also
prove that every Gorenstein perfect algebra of grade 1 can be presented, as a
module, by a symmetric... | 1995-09-10 | 2008-02-03 | [
"alg-geom",
"math.AC",
"math.AG"
] | Steven Kleiman, and Bernd Ulrich |
alg-geom/9509004 | The Canonical Class of $\overline{M}_{0,n}(P^r,d)$ 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 changed. The geometric genus and all the
canonical class formulas are the same. | 1995-09-03 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | R. Pandharipande |
alg-geom/9509003 | Generators for Symbolic Powers of Ideals Defining General Points of
$P^2$ | Given distinct points $p_1,\cdots,p_r$ of the projective plane $P^2$ and a
positive integer $m$, the homogeneous ideal defining the fat point subscheme
$Z=m(p_1+\cdots+p_r)$ is the symbolic power $I^{(m)}$ of the homogeneous ideal
$I$ defining the smooth union of the $r$ points $p_1,\ldots,p_r$. If
$p_1,\ldots,p_r$ are... | 1995-09-01 | 2011-11-09 | [
"alg-geom",
"math.AG"
] | Brian Harbourne |
alg-geom/9509002 | Free Resolutions of Fat Point Ideals on $P^2$ | By defining a fat point subscheme of $P^2$ 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 points. With this notion of fat
points, this preprint determines the number of generators in each degree in a
minimal homogene... | 1995-09-01 | 2009-09-25 | [
"alg-geom",
"math.AG"
] | Brian Harbourne |
alg-geom/9509001 | 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 divisor. All of the results are
proven over an algebraically closed field of arbitrary characteristic.
Applications, trea... | 1995-09-01 | 2009-09-25 | [
"alg-geom",
"math.AG"
] | Brian Harbourne |
alg-geom/9508012 | 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 which the family of stabilizers is
finite has a uniform geometric, uniform categorical quotient in the category of
algebra... | 1995-08-25 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Sean Keel, Shigefumi Mori |
alg-geom/9508011 | 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 $\Bbb P^2$, essentially by splitting the $\Bbb P^2$ in two; then
specialising to the case of genus 0 we show that the method of quantum
cohomology may be viewed as the 'mirror' of the former method where one splits
the $\Bbb P^1$ r... | 1995-08-23 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Ziv Ran |
alg-geom/9508010 | Actions of groups of birationally extendible automorphisms | We study the actions of a Lie group $G$ by birationally extendible
automorphisms on a domain $D\subset C^n$. For a large class of such domains
defined by polynomial inequalities, all automorphisms are of this type. In the
cases 1) $G$ has finitely many components or 2) the degree of the automorphisms
is bounded, we pro... | 1995-08-22 | 2008-02-03 | [
"alg-geom",
"math.AG",
"math.CV"
] | Alan Huckleberry, Dmitri Zaitsev |
alg-geom/9508008 | 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
$K_2(E)$ and $K_1(E)$ for an elliptic curve $E$ over an arbitrary field $k$.
Combining this with the results of Bloch and Beilinson we proved Zagier's
conjecture on $L(E,... | 1995-08-17 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | A.B. Goncharov, A.M. Levin |
alg-geom/9508009 | Frobenius morphisms over Z/p^2 and Bott vanishing | Let $X$ be a smooth projective algebraic variety over $Z/p$, which has a flat
lift to a scheme $X'$ over $Z/p^2$. If the absolute Frobenius morphism $F$ on
$X$ lifts to a morphism on $X'$, then an old trick by Mazur shows that
push-down of the de Rham complex under $F$ decomposes. We show that the
quasi-isomorphism in ... | 1995-08-17 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | A. Buch, J. F. Thomsen, N. Lauritzen and V. B. Mehta |
alg-geom/9508007 | 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 topology restrictions for its
singularity at infinity. For instance, we discribe the singularities at
infinity (up to equisi... | 1995-08-16 | 2015-06-30 | [
"alg-geom",
"math.AG"
] | Norbert A'Campo and Mutsuo Oka |
alg-geom/9508006 | Topological Classifying Spaces of Lie Algebras and the Natural
Completion of Contractions | The space K^n of all n-dimensional { Lie} algebras has a natural
non-Hausdorff topology k^n, which has characteristic limits, called
transitions, A -> B, between distinct Lie algebras A and B. The entity of these
transitions are the natural transitive completion of the well known
Inonu-Wigner contractions and their par... | 1995-08-15 | 2008-02-03 | [
"alg-geom",
"math.AG",
"math.QA",
"q-alg"
] | M. Rainer |
alg-geom/9508005 | 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 recover the great theorems
of Hironaka). We introduce a discrete local invariant $\inv_X (a)$ whose
maximum locus determin... | 1995-08-15 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Edward Bierstone, and Pierre Milman |
alg-geom/9508004 | 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 sheaf of associative algebras over
a scheme by means of introducing an appropriate site and considering sheaves on
it. | 1995-08-08 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Dennis Gaitsgory |
alg-geom/9508003 | 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 equivalence is shown to
the height on the Jacobian defined by the Theta divisor. | 1995-08-06 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Joerg Jahnel |
alg-geom/9508002 | 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 live on arithmetic quotients, by
an embedding induced from an inclusion of groups of hermitian type. We show the
existence o... | 1995-08-02 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Bruce Hunt |
alg-geom/9508001 | 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 numbers of bundles on smooth
complete varieties. In addition, our techniques allow us to obtain residue
formulas for bundles ... | 1995-08-01 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Dan Edidin and William Graham |
alg-geom/9507017 | 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 prototype is Hitchin's system on
the cotangent bundle of the moduli space of stable bundles on a curve. A
variant involving ... | 1995-07-31 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Ron Donagi and Eyal Markman |
alg-geom/9507016 | 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 structure. Then we combine the
result with the canonical mixed Hodge structure of the central fibre and obtain
a simple co... | 1995-07-28 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Yoshiko Hayakawa |
alg-geom/9507015 | 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 X^n_B
dominates a variety of general type. This result is especially interesting when
it is combined with Lang's Conjecture. This states that for a variety V of
general type o... | 1995-07-26 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Brendan Hassett |
alg-geom/9507014 | All strictly exceptional collections in $D^b_{coh}(P^m)$ 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 \rk K_0(X) =
\dim X + 1 constists of locally free sheaves up to a common shift. | 1995-07-26 | 2013-10-29 | [
"alg-geom",
"math.AG"
] | Leonid Positselski |
alg-geom/9507013 | 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 characteristic in the Grothendieck
group of Chow motives. We show that the cohomology with integer coefficients of
any singula... | 1995-07-21 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Henri Gillet and Christophe Soule |
alg-geom/9507012 | 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. | 1995-07-20 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Hiraku Nakajima |
alg-geom/9507011 | 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 $168\leq\mu(8)\leq 174$ by constructing
a projective surface of degree eight with 168 nodes. | 1995-07-19 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Stephan Endrass |
alg-geom/9507010 | Koszul duality and Galois cohomology | It it shown that the Bloch-Kato conjecture on the norm residue homomorphism
$K^M(F)/l \to H^*(G_F,Z/l)$ follows from its (partially known) low-degree part
under the assumption that the Milnor K-theory algebra $K^M(F)/l$ modulo $l$ is
Koszul. This conclusion is a case of a general result on the cohomology of
nilpotent (... | 1995-07-11 | 2013-10-29 | [
"alg-geom",
"math.AG"
] | Leonid Positselski and Alexander Vishik |
alg-geom/9507008 | 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 set of all normal directions of
the immersion. First, we show that the image of the Gauss map characterizes the
manifold.... | 1995-07-09 | 2010-06-21 | [
"alg-geom",
"dg-ga",
"math.AG",
"math.DG"
] | Tohsuke Urabe |
alg-geom/9507009 | Remarks on Seshadri constants | Given a smooth complex projective variety $X$ and an ample line bundle $L$ on
$X$. Fix a point $x\in X$.
We consider the question, are there conditions which guarantee the maxima of
the Seshadri constant of $L$ at $x$, i.e $\eps(L,x)=\root n \of {L^n}$?
We give a partial answer for surfaces and find examples where ... | 1995-07-09 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Andreas Steffens |
alg-geom/9507003 | A note on scrolls of smallest embedded codimension | Let $M$ be a submanifold of ${\Bbb P}^N$ of dimension $n>2$. Suppose that
$(M,{\Cal O}_M(1))\cong{\Bbb P}({\Cal E}),{\Cal O}(1))$ for some vector bundle
${\Cal E}$ on a surface $S$. Then $N\ge 2n-1$ by Barth-Lefschetz Theorem. We
are interested in the case $N=2n-1$. In 1994 Ionescu and Toma gave a
classification of the... | 1995-07-07 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Takao Fujita |
alg-geom/9507006 | A Noether-Lefschetz theorem for vector bundles | In this note we use the monodromy argument to prove a Noether-Lefschetz
theorem for vector bundles. | 1995-07-07 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Jeroen G. Spandaw |
alg-geom/9507005 | On the number of singular points of plane curves | This is an extended, renovated and updated report on a joint work which the
second named author presented at the Conference on Algebraic Geometry held at
Saitama University, 15-17 of March, 1995. The main result is an inequality for
the numerical type of singularities of a plane curve, which involves the degree
of the ... | 1995-07-07 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | S. Orevkov and M. Zaidenberg |
alg-geom/9507007 | On the diffeomorphism groups of elliptic surfaces | In this paper we determine for relatively minimal elliptic surfaces with
positive Euler number the image of the natural representation of the group of
orientation preserving self-diffeomorphisms on $\Hbar$, the second homology
group reduced modulo torsion. To this end we construct as many embedded spheres
of square -2 ... | 1995-07-07 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Michael L"onne |
alg-geom/9507004 | On a class of rational cuspidal plane curves | We obtain new examples and the complete list of the rational cuspidal plane
curves $C$ with at least three cusps, one of which has multiplicity ${\rm
deg}\,C - 2$. It occurs that these curves are projectively rigid. We also
discuss the general problem of projective rigidity of rational cuspidal plane
curves. | 1995-07-07 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | H. Flenner and M. Zaidenberg |
alg-geom/9507002 | The line bundles on the stack of parabolic $G$-bundles over curves and
their sections | Let $X$ be a smooth, complete and connected curve and $G$ be a simple and
simply connected algebraic group over $\comp$. We calculate the Picard group of
the moduli stack of quasi-parabolic $G$-bundles and identify the spaces of
sections of its members to the conformal blocs of Tsuchiya, Ueno and Yamada. We
describe th... | 1995-07-05 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Yves Laszlo and Christoph Sorger |
alg-geom/9507001 | General n-canonical divisors on two-dimensional smoothable
semi-log-terminal singularities | In this paper we calculate genaral n-canonical divisors on smoothable
semi-log-terminal singularities in dimension 2, in other words, the full
sheaves associated to the double dual of the nth tensor power of the dualizing
sheaves of these singularities. And as its application we give the inequality
which bound the Gore... | 1995-07-04 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Masayuki Iwamoto |
alg-geom/9506026 | On triple coverings of irrational curves | Given a triple covering $X$ of genus $g$ of a general (in the sense of
Brill-Noether) curve $C$ of genus $h$, we show the existence of base-point-free
pencils of degree $d$ which are not composed with the triple covering for any
$d\ge g-[{3h+1\over 2}]-1$ by utilizing some enumerative methods and
computations. We also ... | 1995-07-03 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Takao Kato, Changho Keem and Akira Ohbuchi |
alg-geom/9506025 | Automorphisms of crepant resolutions for quotient spaces | A formula for calculating the Lefschetz number of an automorphism acting on a
crepant resolution for a quotient of a Kahler manifold derived from an
equivariant version of McKay correspondence. The latter is proven in some
cases. As an application the Lefschetz numbers of of involutions acting on
Calabi-Yau threefolds ... | 1995-06-29 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | A.Libgober |
alg-geom/9506024 | Residues in Toric Varieties | We study residues on a complete toric variety X, which are defined in terms
of the homogeneous coordinate ring of X. We first prove a global transformation
law for toric residues. When the fan of the toric variety has a simplicial cone
of maximal dimension, we can produce an element with toric residue equal to 1.
We al... | 1995-06-27 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Eduardo Cattani, David Cox, and Alicia Dickenstein |
alg-geom/9506023 | Stacks of Stable Maps and Gromov-Witten Invariants | We correct some errors in the earlier version of this paper. Most
importantly, the definition of isogeny of marked stable graphs has changed. | 1995-06-27 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | K. Behrend and Yu. Manin |
alg-geom/9506021 | A Vector Bundle of Rank 2 on P1 x P3 | The paper studies a rank 2 vector bundle on P1 x P3. Similarly to the
Horrocks - Mumford bundle on P4 this vector bundle encodes a lot of geometric
information. It is defined via the Serre construction by an abelian surface in
P1 x P3. The bundle is stable with respect to O(1,1), its jumping lines are
determined. Morov... | 1995-06-26 | 2015-06-30 | [
"alg-geom",
"math.AG"
] | H. Lange |
alg-geom/9506020 | Instantons and affine algebras I: The Hilbert scheme and vertex
operators | This is the first in a series of papers which describe the action of an
affine Lie algebra with central charge $n$ on the moduli space of
$U(n)$-instantons on a four manifold $X$. This generalises work of Nakajima,
who considered the case when $X$ is an ALE space. In particular, this describes
the combinatorial complex... | 1995-06-25 | 2015-06-30 | [
"alg-geom",
"hep-th",
"math.AG"
] | I. Grojnowski (Yale) |
alg-geom/9506017 | Minimal Siegel modular threefolds | In this paper we study the maximal extension $\Gamma_t^*$ of the subgroup
$\Gamma_t$ of $\operatorname{Sp}_4 (\bq)$ which is conjugate to the paramodular
group. The index of this extension is $2^{\nu(t)}$ where $\nu(t)$ is the number
of prime divisors of $t$. The group $\Gamma_t^*$ defines the minimal modular
threefold... | 1995-06-23 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Valeri Gritsenko and Klaus Hulek |
alg-geom/9506018 | Modular forms and Donaldson invariants for 4-manifolds with $b_+=1$ | We study the Donaldson invariants of simply connected $4$-manifolds with
$b_+=1$, and in particular the change of the invariants under wall-crossing. We
assume the conjecture of Kotschick and Morgan about the shape of the
wall-crossing terms (which Oszva\'th and Morgan are now able to prove), and are
determine a genera... | 1995-06-23 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Lothar G\"ottsche |
alg-geom/9506019 | Wall-crossing formulas, Bott residue formula and the Donaldson
invariants of rational surfaces | We study the Donaldson invariants of rational surfaces and their dependence
on the chambers in the ample cone. We build on a previous joint paper in which
we have expressed the change of the Donaldson invariants on an algebraic
surface $S$ under crossing a so-called good wall in terms of certain
intersection numbers on... | 1995-06-23 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Geir Ellingsrud and Lothar G\"ottsche |
alg-geom/9506016 | Cycles alg\'ebriques sur les surfaces K3 r\'eelles | For a real algebraic K3 surface $X(R)$, we give all possible values of the dimension $h^1_{alg}(X(R)$ of the group $\H^1_{alg}(X(R),Z/2)$ of algebraic cycles of $X(R)$. In particular, we prove that if $X(R)$ is not an M-surface, $X(R)$ can always be deformed to some $X'(R)$ with $h^1_{alg}(X'(R))=\dim\H^1(X(R),Z/2)$. F... | 1995-06-21 | 2025-05-23 | [
"alg-geom",
"math.AG"
] | Fr\'ed\'eric Mangolte |
alg-geom/9506015 | On the separate algebraicity along the families of algebraic curves | A new generalization of the classical separate algebraicity theorem is
suggested and proved. | 1995-06-21 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | R.A.Sharipov and E.N.Tzyganov (Department of Mathematics, Bashkir
State University, Russia) |
alg-geom/9506013 | Fundamental group of locally symmetric varieties | Take a bounded symmetric domain $D$ and an arithmetic subgroup $\Gamma$ of
${\rm Aut}(D)$. Take the quotient $D/\Gamma$, compactify and resolve the
singularities. We study the fundamental group of the compact complex manifolds
that result from this procedure, and in particular the case of Siegel modular
threefolds. | 1995-06-20 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | G.K. Sankaran |
alg-geom/9506014 | Higher cohomology triples and holomorphic extensions | We introduce equations for special metrics, and notions of stability for some
new types of augmented holomorphic bundles. These new examples include
holomorphic extensions, and in this case we prove a Hitchin-Kobayashi
correspondence between a certain deformation of the Hermitian-Einstein
equations and our definition o... | 1995-06-20 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Steven B. Bradlow and Oscar Garcia-Prada |
alg-geom/9506012 | Semiorthogonal decomposition for algebraic varieties | A criterion for a functor between derived categories of coherent sheaves to
be full and faithful is given. A semiorthogonal decomposition for the derived
category of coherent sheaves on the intersection of two even dimensional
quadrics is obtained. The behaviour of derived categories with respect to
birational transfor... | 1995-06-19 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | A.Bondal and D.Orlov |
alg-geom/9506011 | Stability of the Poincar\'e bundle | Let $C$ be a nonsingular projective curve of genus $g\ge2$ defined over the
complex numbers, and let $M_{\xi}$ denote the moduli space of stable bundles of
rank $n$ and determinant $\xi$ on $C$, where $\xi$ is a line bundle of degree
$d$ on $C$ and $n$ and $d$ are coprime. It is shown that the universal bundle
$\cu_{\x... | 1995-06-15 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | V. Balaji, L. Brambila Paz, and P. E. Newstead |
alg-geom/9506010 | Rang maximal pour $T_P^n$ | In this paper, I compute the last non-trivial term of the minimal free
resolution of the homogeneous ideal of $s$ points of $P^n$ in sufficiently
general position, for any $s$, showing that this term is the one conjectured by
the Minimal Resolution Conjecture of Anna Lorenzini. I use a geometrical
method, the "vectoria... | 1995-06-12 | 2008-02-03 | [
"alg-geom",
"math.AC",
"math.AG"
] | Francois Lauze |
alg-geom/9506009 | Curves that change genus can have arbitrarily many rational points | A singular curve over a non-perfect field K may not have a smooth model over
K. Those are said to "change genus". If K is a global field of positive
characteristic and C/K a curve that change genus, then C(K) is known to be
finite. The purpose of this note is to give examples of curves with fixed
relative genus, define... | 1995-06-06 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Jose' Felipe Voloch |
alg-geom/9506008 | Hermitian-Einstein Inequalities and Harder-Narasimhan Filtration | Unstable holomorphic bundles can be described algebraically by
Harder-Narasimhan filtrations. In this note we show how such filtrations
correspond to the existence of special metrics defined by Hermitian-Einstein
inequalities. | 1995-06-05 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Steven B. Bradlow |
alg-geom/9506007 | On localization and Riemann-Roch numbers for symplectic quotients | Suppose $(M,\omega)$ is a compact symplectic manifold acted on by a compact
Lie group $K$ in a Hamiltonian fashion, with moment map $\mu: M \to \Lie(K)^*$
and Marsden-Weinstein reduction $M_{red} = \mu^{-1}(0)/K$. In this paper, we
assume that $M$ has a $K$-invariant K\"ahler structure. In an earlier paper, we
proved a... | 1995-06-04 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Lisa C. Jeffrey, Frances C. Kirwan |
alg-geom/9506004 | On Alternative Supermatrix Reduction | We consider a nonstandard odd reduction of supermatrices (as compared with
the standard even one) which arises in connection with possible extension of
manifold structure group reductions. The study was initiated by consideration
of the generalized noninvertible superconformal-like transformations. The
features of even... | 1995-06-02 | 2009-10-28 | [
"alg-geom",
"hep-th",
"math.AG"
] | Steven Duplij |
alg-geom/9506003 | A note on the genus of certain curves over finite fields | We prove the following result which was conjectured by Stichtenoth and Xing:
let $g$ be the genus of a projective, irreducible non-singular curve over the
finite field $\Bbb F_{q^2}$ and whose number of $\Bbb F_{q^2}$-rational points
attains the Hasse-Weil bound; then either $4g\le (q-1)^2$ or $2g=(q-1)q$. | 1995-06-02 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Rainer Furhmann and Fernando Torres |
alg-geom/9506006 | Open problems on open algebraic varieties | This report records a large number of open problems in Affine Algebraic
Geometry that were proposed by participants in a Conference on Open Algebraic
Varieties at the Centre de Recherches en Mathematiques in Montreal at December
1994. | 1995-06-02 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | R.V. Gurjar, Shulim Kaliman, N. Mohan Kumar, Masayoshi Miyanishi,
Peter Russell, Fumio Sakai, David Wright, Mikhail Zaidenberg |
alg-geom/9506005 | On exotic algebraic structures on affine spaces | By an exotic algebraic structure on the affine space ${\bf C}^n$ we mean a
smooth affine algebraic variety which is diffeomorphic to ${\bf R}^{2n}$ but
not isomorphic to ${\bf C}^n$. This is a survey of the recent developement on
the subject, which emphasizes its analytic aspects and points out some open
problems. | 1995-06-02 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Mikhail Zaidenberg |
alg-geom/9506002 | The index of $grad f(x,y)$ | Let $f(x,y)$ be a real polynomial of degree $d$ with isolated critical
points, and let $i$ be the index of $grad f$ around a large circle containing
the critical points. An elementary argument shows that $|i| \leq d-1$. In this
paper we show that $ i \leq max \{1, d-3 \}$. We also show that if all the
level sets of $f$... | 1995-06-01 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Alan H. Durfee |
alg-geom/9506001 | Composite Differentiable Functions | We introduce a new point of view towards Glaeser's theorem on composite
$C^\infty$ functions [Ann. of Math. 1963], with respect to which we can
formulate a ``$C^k$ composite function property" that is satisfied by all
semiproper real analytic mappings. As a consequence, we see that a closed
subanalytic set $X$ satisfie... | 1995-06-01 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Edward Bierstone, Pierre D. Milman and Wieslaw Pawlucki |
alg-geom/9505038 | Uniformity of stably integral points on elliptic curves | A common practice in arithmetic geometry is that of generalizing rational
points on projective varieties to integral points on quasi-projective
varieties.
Following this practice, we demonstrate an analogue of a result of L.
Caporaso, J. Harris and B. Mazur, showing that the Lang - Vojta conjecture
implies a uniform ... | 1995-06-01 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Dan Abramovich |
alg-geom/9505036 | Del Pezzo surfaces over Dedekind schemes | Let S be a Dedekind scheme with fraction field K. We study the following
problem: given a Del Pezzo surface X, defined over K, construct a distinguished
integral model of X, defined over all of S. We provide a satisfactory answer if
S is a smooth complex curve, and a conjectural answer if X is a cubic Del Pezzo
surface... | 1995-05-31 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Alessio Corti |
alg-geom/9505037 | Hodge groups of abelian varieties with purely multiplicative reduction | The main result of the paper is that if $A$ is an abelian variety over a
subfield $F$ of ${\bold C}$, and $A$ has purely multiplicative reduction at a
discrete valuation of $F$, then the Hodge group of $A$ is semisimple. Further,
we give necessary and sufficient conditions for the Hodge group to be
semisimple. We obtai... | 1995-05-31 | 2015-06-24 | [
"alg-geom",
"math.AG"
] | A. Silverberg and Yu. G. Zarhin |
alg-geom/9505035 | Semistable 3-fold flips | We piece together ingredients, which are well known and documented in the
literature, into a new proof of the existence of semistable 3-fold flips | 1995-05-31 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Alessio Corti |
alg-geom/9505033 | Symmetric subgroups of rational groups of hermitian type | A rational group of hermitian type is an algebraic group over the rational
numbers whose symmetric space is a hermitian symmetric space. We assume such a
group $G$ to be given, which we assume is isotropic. Then, for any rational
parabolic $P$ in the group $G$, we find a reductive rational subgroup $N$
closely related ... | 1995-05-29 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Bruce Hunt |
alg-geom/9505032 | The fiber of the Griffiths map for the non-hyperelliptic Fano threefolds
of genus 6 | Among smooth non-rational Fano 3-folds, the non-hyperelliptic Fano 3-fold
X(10) of genus 6 has the unique property to admit a non-trivial orbit of
birationally isomorphic 3-folds, inside its moduli space. Here we prove that
these orbits are, in fact, the same as the fibers of the Griffiths period map
for X(10). This le... | 1995-05-29 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Atanas Iliev |
alg-geom/9505031 | Minimal sections of conic bundles | Let the threefold X be a general smooth conic bundle over the projective
plane P(2), and let (J(X), Theta) be the intermediate jacobian of X. In this
paper we prove the existence of two natural families C(+) and C(-) of curves on
X, such that the Abel-Jacobi map F sends one of these families onto a copy of
the theta di... | 1995-05-29 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Atanas Iliev |
alg-geom/9505030 | How to tell you're hearing a Calabi-Yau: Universal variations of Hodge
structure and local Schottky relations for Calabi-Yau manifolds | A revised version with a number of corrections and refinements. | 1995-05-28 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Ziv Ran |
alg-geom/9505029 | Quaternionic Monopoles | We present the simplest non-abelian version of Seiberg-Witten theory:
Quaternionic monopoles. These monopoles are associated with
Spin^h(4)-structures on 4-manifolds and form finite-dimensional moduli spaces.
On a Kahler surface the quaternionic monopole equations decouple and lead to
the projective vortex equation for... | 1995-05-27 | 2009-10-28 | [
"alg-geom",
"hep-th",
"math.AG"
] | Ch. Okonek and A. Teleman |
alg-geom/9505028 | Flips from semi-stable 4-folds whose degenerate fibers are unions of
Cartier divisors which are terminal factorial 3-folds | We shall investigate flipping contractions from a semi-stable 4-fold $X$
whose degenerate fiber is a union of Cartier divisors which are terminal
factorial 3-folds. Especially we shall prove that $X$ is smooth along the
flipping locus, and that the flip exists for such contractions. | 1995-05-26 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Yasuyuki Kachi |
alg-geom/9505027 | Determinant of Period Integral | Period integrals arise from the comparison between Betti cohomologies and de
Rham cohomologies. In this paper, we give a formula for the determinant of
period integrals in terms of the canonical pairing between Picard group of rank
1 realizations and relative Chow group. It is compatible with the similar
formula for Ga... | 1995-05-26 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Takeshi Saito, and Tomohide Terasoma |
alg-geom/9505026 | On the local geometry of moduli spaces of vector bundles | We give a canonical description of the formal moduli space of a vector bundle
on a variety; as an application, we prove the closedness of certain
differential forms on moduli corresponding to the trace form on the
endomorphism algebra of the bundle. | 1995-05-25 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Ziv Ran |
alg-geom/9505024 | Determinant Bundles, Quillen Metrics, and Mumford Isomorphisms Over the
Universal Commensurability Teichm\"uller Space | There exists on each Teichm\"uller space $T_g$ (comprising compact Riemann
surfaces of genus $g$), a natural sequence of determinant (of cohomology) line
bundles, $DET_n$, related to each other via certain ``Mumford isomorphisms''.
There is a remarkable connection, (Belavin-Knizhnik), between the Mumford
isomorphisms a... | 1995-05-24 | 2008-02-03 | [
"alg-geom",
"hep-th",
"math.AG"
] | Indranil Biswas, Subhashis Nag, and Dennis Sullivan |
alg-geom/9505025 | Topological invariants of a fan associated to a toric variety | Associated to a toric variety $X$ of dimension $r$ over a field $k$ is a fan
$\Delta$ on $\Bbb R^r$. The fan $\Delta$ is a finite set of cones which are in
one-to-one correspondence with the orbits of the torus action on $X$. The fan
$\Delta$ inherits the Zariski topology from $X$. In this article some
cohomological in... | 1995-05-24 | 2008-02-03 | [
"alg-geom",
"math.AC",
"math.AG"
] | Timothy J. Ford |
alg-geom/9505023 | A Note On Elliptic Plane Curves With Fixed j-Invariant | Let N_d be the number of degree d, nodal, rational plane curves through 3d-1
points in the complex projective plane. The number of degree d>=3, nodal,
elliptic plane curves with a fixed (general) j-invariant through 3d-1 points is
found to be {d-1 \choose 2}*N_d. | 1995-05-24 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | R. Pandharipande |
alg-geom/9505021 | Rational surfaces in P^4 containing a plane curve | The families of smooth rational surfaces in $\PP^4$ have been classified in
degree $\le 10$. All known rational surfaces in $\PP^4$ can be represented as
blow-ups of the plane $\PP^2$. The fine classification of these surfaces
consists of giving explicit open and closed conditions which determine the
configurations of ... | 1995-05-23 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Fabrizio Catanese and Klaus Hulek |
alg-geom/9505022 | A Geometric Invariant Theory Compactification of M_{g,n} Via the
Fulton-MacPherson Configuration Space | A compactification over $\overline{M}_g$ of $M_{g,n}$ is obtained by
considering the relative Fulton-MacPherson configuration space of the universal
curve. The resulting compactification differs from the Deligne-Mumford space
$\overline{M}_{g,n}$. In case $n=2$, the compactification constructed here and
the Deligne-Mum... | 1995-05-23 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | R. Pandharipande |
alg-geom/9505020 | Lang's conjectures, Conjecture H, and uniformity | The purpose of this note is to wish a happy birthday to Professor Lucia
Caporaso.*
We prove that Conjecture H of Caporaso et. al. ([CHarM], sec. 6) together
with Lang's conjecture implies the uniformity of rational points on varieties
of general type, as predicted in [CHarM]; a few applications in arithmetic and
geom... | 1995-05-21 | 2015-06-30 | [
"alg-geom",
"math.AG"
] | Dan Abramovich |
alg-geom/9505019 | Mapping threefolds onto three-quadrics | We prove that the degree of a nonconstant morphism from a smooth projective
3-fold $X$ with N\'{e}ron-Severi group ${\bf Z}$ to a smooth 3-dimensional
quadric is bounded in terms of numerical invariants of $X$. In the special case
where $X$ is a 3-dimensional cubic we show that there are no such morphisms.
The main too... | 1995-05-19 | 2008-02-03 | [
"alg-geom",
"math.AG"
] | Carmen Schuhmann |
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