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Algebraic Geometry papers — page 24

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Rational points on some Fano cubic bundles
We consider some families of smooth Fano hypersurfaces Xn+2 in Pn+2 × P3 given by a homogeneous polynomial of bidegree (1,3). For these varieties we obtain lower bounds…
Victor V. Batyrev, Yuri TschinkelFeb 17, 1996
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Residues and Differential Operators on Schemes
Beilinson Completion Algebras (BCAs) are generalizations of complete local rings, and have a rich algebraic-analytic structure. These algebras were introduced in my paper "Traces and Differential…
Amnon YekutieliFeb 14, 1996
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Nodal curves on surfaces of general type
We study the family of irreducible curves with δ nodes belonging to a free linear system |C| with smooth general member on a surface S such that |KS| is ample. Under the assumption that C…
Luca Chiantini, Edoardo SernesiFeb 14, 1996
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Non-abelian monopoles and vortices
The Seiberg-Witten equations are defined on certain complex line bundles over smooth oriented four manifolds. When the base manifold is a complex Kahler surface, the Seiberg-Witten equations are…
Steven Bradlow, Oscar Garcia-PradaFeb 9, 1996
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Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
We introduce a method of constructing the virtual cycle of any scheme associated with a tangent-obstruction complex. We apply this method to constructing the virtual moduli cycle of the moduli of…
Jun Li, Gang TianFeb 9, 1996
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On the monodromy at infinity of a polynomial map, II
In the last years a lot of work has been concentrated on the study of the behaviour at infinity of polynomial maps. This behaviour can be very complicated, therefore the main idea was to find special…
R. Garcia, A. NemethiFeb 9, 1996
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Spin Verlinde spaces and Prym theta functions
Theta functions of level n on the principally polarised Prym varieties of an algebraic curve are dual to sections of the orthogonal theta line bundle on the moduli space of Spin(n)-bundles over the…
W. M. OxburyFeb 9, 1996
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Chapters on algebraic surfaces
This is a first graduate course in algebraic geometry. It aims to give the student a lift up into the subject at the research level, with lots of interesting topics taken from the classification of…
Miles ReidFeb 6, 1996
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Real enumerative geometry and effective algebraic equivalence
We describe an approach to the question of finding real solutions to problems of enumerative geometry, in particular the question of whether a problem of enumerative geometry can have all of its…
Frank SottileFeb 6, 1996
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Alexander Stratifications of Character Varieties
There is a natural stratification of the character variety of a finitely presented group coming from the jumping loci of the first cohomology of one-dimensional representations. Equations defining…
Eriko HironakaFeb 2, 1996
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Algebraic Chern Simons Theory
An analog of Chern-Simons theory is developed in an algebro-geometric setting.
Spencer Bloch, Hélène EsnaultFeb 2, 1996
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A Hitchin-Kobayashi Correspondence for Coherent Systems on Riemann Surfaces
A `coherent system' ( E,V), consists of a holomorphic bundle plus a linear subspace of its space of holomorphic sections. Based on the usual notion in Geometric Invariant Theory, a notion…
Steven B. Bradlow, Oscar Garcia-PradaFeb 2, 1996
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Flatness of families induced by hypersurfaces on flag varieties
We answer a question posed by S. Kleiman concerning flatness of the family of complete quadrics. We also show that any flat family of hypersurfaces on Grassmann varieties induces a flat family of…
Israel VainsencherFeb 2, 1996
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On Cohomology of the Square of an Ideal Sheaf
For a smooth subvariety X⊂ PN, consider (analogously to projective normality) the vanishing condition H1( PN, I2X(k))=0, k3. This condition is shown to be satisfied…
Jonathan WahlJan 29, 1996
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Singularities of Pairs
These are the revised notes of my lectures at the 1995 Santa Cruz summer institute. Changes from the Jan.26,1996 version: Major: 7.1--2; Medium: 3.7, 3.11, 5.3.3, 7.9.2, 9.8.
János KollárJan 26, 1996
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Geometry of Deligne cohomology
It is well known that degree two Deligne cohomology groups can be identified with groups of isomorphism classes of holomorphic line bundles with connections. There is also a geometric description of…
Pawel GajerJan 26, 1996
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Toward Clemens' Conjecture in degrees between 10 and 24
We introduce and study a likely condition that implies the following form of Clemens' conjecture in degrees d between 10 and 24: given a general quintic threefold F in complex 4, the…
Trygve Johnsen, Steven L. KleimanJan 23, 1996
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Compactifications of families of curves
We construct a good compactification of the variety of irreducible projective plane curves of degree n with d nodes and no other singularities.
Robert TregerJan 23, 1996
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The Space of Triangles, Vanishing Theorems, and Combinatorics
We consider compactifications of the space of triples of distinct points in projective n-space. One such space is a singular variety of configurations of points and lines; another is the smooth…
Wilberd van der Kallen, Peter MagyarJan 23, 1996
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Volumes of hyperbolic manifolds and mixed Tate motives
Two different constructions of an invariant of an odd dimensional hyperbolic manifold in the K-group K2n-1( Q) Q are given. The volume of the manifold is equal to the value…
Alexander GoncharovJan 19, 1996
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Geometry of families of nodal curves on rational surfaces
Let P2r be the projective plane blown up at r generic points. Denote by E0,E1,...,Er the strict transform of a generic straight line on P2 and the exceptional divisors of the blown-up points on…
Gert-Martin Greuel, Christoph Lossen, Eugenii ShustinJan 19, 1996
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Principle bundles admitting a holomorphic structure
Let M be a compact connected Kähler manifold and let l-1 be the smallest term in the Harder-Narasimhan filtration of its tangent bundle. Let G be an affine algebraic reductive group over…
Indranil BiswasJan 18, 1996
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Bounds for Seshadri Constants
In the paper we present an alternative approach to the boundedness of Seshadri constants (which measure the local positivity) of nef and big line bundles at a general point of a complex--projective…
Oliver Küchle, Andreas SteffensJan 18, 1996
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The canonical modifications by weighted blow-ups
In this paper we give a criterion for an isolated, hypersurface singularity of dimension n\ (≥ 2) to have the canonical modification by means of a suitable weighted blow-up. Then we give a…
Shihoko IshiiJan 18, 1996
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Space of conformal blocks in 4D WZW theory
We propose an algebro-geometric definition of the space of conformal blocks in the four dimensional Wess-Zumino-Witten theory introduced by Losev.et al..
Tohru Nakashima, Yuichiro TakedaJan 17, 1996
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