Skip to content

Algebraic Geometry papers — page 20

alg-geomBrowse archive

Plane curves with a big fundamental group of the complement
Let C 2 be an irreducible plane curve whose dual C* 2* is an immersed curve which is neither a conic nor a nodal cubic. The main result states that the Poincaré group $π1(2…
G. Dethloff, S. Orevkov, M. ZaidenbergJul 4, 1996
Learn
Mapping Class Groups and Moduli Spaces of Curves
This is a survey paper that also contains some new results. It will appear in the proceedings of the AMS summer research institute on Algebraic Geometry at Santa Cruz.
Richard Hain, Eduard LooijengaJul 4, 1996
Learn
On the algebraic dimension of twistor spaces over the connected sum of four complex projective planes
We study the algebraic dimension of twistor spaces of positive type over 42. We show that such a twistor space is Moishezon if and only if its anticanonical class is not nef. More precisely,…
Bernd KreusslerJul 4, 1996
Learn
The orbifold fundamental group of Persson-Noether-Horikawa surfaces
The Noether-Horikawa surfaces are the minimal surfaces S with K2=2pg-4. For 8 | K2 they belong to two families of respective type C and N (connected, resp. non connected branch locus for the…
Fabrizio Catanese, Sandro ManfrediniJul 4, 1996
Learn
A remark on the jet bundles over the projective line
This is a footnote of a recent interesting work of Cohen, Manin and Zagier, where they, among other things, produce a natural isomorphism between the sheaf of (n-1)-th order jets of the n-th tensor…
Indranil BiswasJul 3, 1996
Learn
A relative notion of algebraic Lie group and applications to n-stacks
If S is a scheme of finite type over k= , let /S denote the big etale site of schemes over S. We introduce presentable group sheaves, a full subcategory of the category of…
Carlos SimpsonJul 3, 1996
Learn
Quantum cohomology of flag manifolds G/B and quantum Toda lattices
We prove the Givental conjecture that the (equivariant) quantum cohomology of flag manifolds G/B are governed by the conservation law of Toda lattices. In addition, we find the quantum differential…
Bumsig KimJul 2, 1996
Learn
Non-Hermitian Yang-Mills connections
We study Yang-Mills connections on holomorphic bundles over complex Kähler manifolds of arbitrary dimension, in the spirit of Hitchin's and Simpson's study of flat connections. The space of…
Dmitry Kaledin, Misha VerbitskyJul 1, 1996
Learn
Gale Duality and Free Resolutions of Ideals of Points
What is the shape of the free resolution of the ideal of a general set of points in Pr? This question is central to the programme of connecting the geometry of point sets in projective space with…
David Eisenbud, Sorin PopescuJun 28, 1996
Learn
Positivite et discretion des points algebriques des courbes
We prove the discreteness of algebraic points (with respect to the Neron-Tate height) on a curve of genus greater than one embedded in his jacobian. This result was conjectured by Bogomolov. We also…
Emmanuel UllmoJun 27, 1996
Learn
Recent developments in toric geometry
This paper will appear in the Proceedings of the 1995 Santa Cruz Summer Institute. The paper is a survey of recent developments in the theory of toric varieties, including new constructions of toric…
David A. CoxJun 25, 1996
Learn
On a relative version of the Krichever correspondence
For a given base scheme, a correspondence is established between a class of sheaves on curves over this base scheme and certain points of infinite Grassmannians. This equivalence extends to a…
Ines QuandtJun 21, 1996
Learn
Syzygies of Abelian and Bielliptic Surfaces in P4
So far only six families of smooth irregular surfaces are known to exist in P4 (up to pullbacks by suitable finite covers of P4). These are the elliptic quintic scrolls, the minimal abelian and…
Alf Aure, Wolfram Decker, Klaus Hulek et al.Jun 20, 1996
Learn
Composition law and Nodal genus-2 curves in P2
Recently, there has been great interest in the application of composition laws to problems in enumerative geometry. Using the moduli space of stable maps, we compute the number of irreducible,…
Sheldon Katz, Zhenbo Qin, Yongbin RuanJun 20, 1996
Learn
Lengths of Periods and Seshadri Constants of Abelian Varieties
The purpose of this note is to point out an elementary but somewhat surprising connection between the work of Buser and Sarnak on lengths of periods of abelian varieties and the Seshadri constants…
Robert LazarsfeldJun 13, 1996
Learn
Flips from 4-folds with isolated complete intersection singularities whose downstairs have rational bi-elephants
We shall investigate a flipping contraction g : X -> Y from a 4-fold X with at most isolated complete intersection singularities. If Y has an anti-bi-canonical divisor (=bi-elephant) with only…
Yasuyuki KachiJun 12, 1996
Learn
Descent of Deligne groupoids
To any non-negatively graded dg Lie algebra g over a field k of characteristic zero we assign a functor Σg: art/k Kan from the category of commutative local artinian k-algebras with the…
Vladimir HinichJun 11, 1996
Learn
The algebraic formalism of soliton equations over arbitrary base fields
The aim of this paper is to offer an algebraic construction of infinite-dimensional Grassmannians and determinant bundles (and therefore valid for arbitrary base fields). As an application we…
A. Álvarez Vázquez, J. M. Muñoz Porras, F. J. Plaza MartínJun 10, 1996
Learn
Finite sets in fibres of holomorphic maps
We consider the maximal number of arbitrary points in a special fibre that can be simultaneously approached by points in one sequence of general fibres. Several results about this topological…
Michal Kwiecinski, Piotr TworzewskiJun 10, 1996
Learn
Equivalences of derived categories and K3 surfaces
We consider derived categories of coherent sheaves on smooth projective varieties. We prove that any equivalence between them can be represented by an object on the product. Using this, we give a…
Dmitri OrlovJun 7, 1996
Learn
Algebraic cycles and topology of real Enriques surfaces
For a real Enriques surface Y we prove that every homology class in H1(Y(R), Z/2) can be represented by a real algebraic curve if and only if all connected components of Y(R) are orientable.…
Frédéric Mangolte, Joost van HamelJun 7, 1996
Learn
Nonrational Covers of CPm× CPn
The aim of the paper is to construct examples of cyclic covers of CPm× CPn which are rationally connected but are not rational. The crucial point turns out to be the study of Del Pezzo…
János KollárJun 6, 1996
Learn
Algebraically constructible functions
An algebraic version of Kashiwara and Schapira's calculus of constructible functions is used to describe local topological properties of real algebraic sets, including Akbulut and King's…
Clint McCrory, Adam ParusinskiJun 6, 1996
Learn
Height Zeta Functions of Toric Varieties
We investigate analytic properties of height zeta functions of toric varieties. Using the height zeta functions, we prove an asymptotic formula for the number of rational points of bounded height…
Victor V. Batyrev, Yuri TschinkelJun 6, 1996
Learn
On the period map for abelian covers of algebraic varieties
We show that infinitesimal Torelli for n-forms holds for abelian covers of algebraic varieties of dimension n 2, under some explicit ampleness assumptions on the building data of the cover.…
Rita PardiniJun 6, 1996
Learn
← PreviousPage 20Next →