Skip to content

Algebraic Geometry papers — page 48

alg-geomBrowse archive

Weierstrass Gap Sequence at Total Inflection Points of Nodal Plane Curves
Let Γ be a plane curve of degree d with δ ordinary nodes and no other singularities. If P is a smooth point on Γ then the Weierstrass gap sequence at P is considered as that at the…
Marc Coppens, Takao KatoApr 2, 1992
Learn
Homotopy groups of the complements to singular hypersurfaces,II
The homotopy group πn-k ( Cn+1-V) where V is a hypersurface with a singular locus of dimension k and good behavior at infinity is described using generic pencils. This is analogous…
A. LibgoberMar 24, 1992
Learn
Prym Varieties and Integrable Systems
A new relation between Prym varieties of arbitrary morphisms of algebraic curves and integrable systems is discovered. The action of maximal commutative subalgebras of the formal loop algebra of…
Yingchen Li, Motohico MulaseMar 20, 1992
Learn
On the Abel-Jacobi Map for Divisors of Higher Rank on a Curve
The aim of this paper is to present an algebro-geometric approach to the study of the geometry of the moduli space of stable bundles on a smooth projective curve defined over an algebraically closed…
Emili Bifet, Franco Ghione, Maurizio LetiziaMar 19, 1992
Learn
Computing the Cohomological Brauer Group of a Toric Variety
The purpose of this article is to show how one might compute the étale cohomology groups Hpet(X,Gm) in degrees p=0, 1 and 2 of a toric variety X with coefficients in the sheaf…
Timothy J. FordMar 18, 1992
Learn
Exceptional linear systems on curves on Enriques surfaces
The main purpose in this paper is to study the gonality, the Clifford index and the Clifford dimension on linearly equivalent smooth curves on Enriques surfaces. The method is similar to techniques…
Severinas ZubeMar 5, 1992
Learn
Complex Divisors on Algebraic Curves and Some Applications to String Theory
These are notes of a talk to the International Conference on Algebra in honor of A. I. Mal'tsev, Novosibirsk, USSR, 1989 (to appear in Contemporary Mathematics). The concept of a divisor with…
A. A. VoronovFeb 27, 1992
Learn
Cohomological and Cycle-theoretic connectivity
One of the themes in algebraic geometry is the study of the relation between the ``topology'' of a smooth projective variety and a (``general'') hyperplane section. Recent results of…
Kapil H. ParanjapeFeb 26, 1992
Learn
Picard-Fuchs equations and mirror maps for hypersurfaces
We describe a strategy for computing Yukawa couplings and the mirror map, based on the Picard-Fuchs equation. (Our strategy is a variant of the method used by Candelas, de la Ossa, Green, and Parkes…
David R. MorrisonFeb 26, 1992
Learn
The Singularities of the parameter surface of a minimal elliptic threefold
Let f : X -> S be any elliptic fibration. If X has dimension 3 and is not uniruled, then X has a minimal model (with terminal singularities) [Mori]. In earlier work we have shown that there exists a…
A. GrassiFeb 21, 1992
Learn
Sur la cohomologie de certains espaces de modules de fibrés vectoriels
Let M be a moduli space of stable vector bundles on a curve with rank and degree fixed and coprime. We give a simple proof that the rational cohomology of M is generated by the Kunneth components of…
A. BeauvilleFeb 21, 1992
Learn
Regulators and characteristic classes of flat bundles
This is a substantial revision of the older version of this paper. The main result of the old version (the equality, up to a factor of 2 of the Beilinson and Borel regulators) is now a conjecture.…
Johan Dupont, Richard Hain, Steven ZuckerFeb 20, 1992
Learn
Classical Polylogarithms
This paper is an introduction to classical polylogarithms and is an expanded version of a talk given by the author at the Motives conference. Topics covered include, monodromy; the polylogarithm…
Richard HainFeb 20, 1992
Learn
Grobner bases and extension of scalars
This paper studies the behavior of Grobner bases with respect to extensions of scalars. We prove that an extension of scalars commutes with taking Grobner bases iff the extension is flat. We consider…
Dave Bayer, Andre Galligo, Mike StillmanFeb 20, 1992
Learn
Disproving Hibi's Conjecture with CoCoA or Projective Curves with bad Hilbert Functions
In this paper we show how to combine different techniques from Commutative Algebra and a systematic use of a Computer Algebra System (in our case mainly CoCoA) in order to explicitly construct…
G. Niesi, L. RobbianoFeb 20, 1992
Learn
Arithmetically Cohen-Macaulay Curves cut out by Quadrics
Addressing a question of M. Stillman, it had been shown by Ein, Eisenbud, and the author that in a projective space of dimension at most 5, every arithmetically Cohen-Macaulay curve which is cut out…
Sheldon KatzFeb 19, 1992
Learn
The cohomological Brauer group of a toric variety
Toric varieties are a special class of rational varieties defined by equations of the form monomial = monomial. For a good brief survey of the history and role of toric varieties see [10]. Any…
Frank DeMeyer, Tim Ford, Rick MirandaFeb 19, 1992
Learn
Extensions of Rokhlin congruence for curves on surfaces
The subject of this paper is the problem of arrangement of a real nonsingular algebraic curve on a real non-singular algebraic surface. This paper contains new restrictions on this arrangement…
G. MikhalkinFeb 18, 1992
Learn
Congruences for real algebraic curves on an ellipsoid
The problem of arrangement of a real algebraic curve on a real algebraic surface is related to the 16th Hilbert problem. We prove in this paper new restrictions on arrangement of nonsingular real…
G. MikhalkinFeb 18, 1992
Learn
Note on curves in a Jacobian
For a curve C, viewed as a cycle in its Jacobian, we study its image n*C under multiplication by n on JC. We prove that the subgroup generated by these cycles, in the Chow group modulo algebraic…
Elisabetta Colombo, Bert van GeemenFeb 17, 1992
Learn
Degenerations of generalized KNN algebras on tori
Degenerations of Lie algebras of meromorphic vector fields on elliptic curves (i.e. complex tori) which are holomorphic outside a certain set of points (markings) are studied. By an algebraic…
Martin SchlichenmaierFeb 17, 1992
Learn
Deformations of Semi-Euler Characteristics
(Generalizes theorem of Atiyah and Mumford.)
George R. KempfFeb 14, 1992
Learn
Cohomology of coherent sheaves on a proper scheme
(Makes a Gamma-acylic coherent resolution of a coherent sheaf on a projection scheme.)
George R. KempfFeb 14, 1992
Learn
The Geometry and Arithmetic of Elliptic Surfaces
We survey some aspects of the theory of elliptic surfaces and give some results aimed at determining the Picard number of such a surface. For the surfaces considered, this will be equivalent to…
Peter F. StillerFeb 14, 1992
Learn
Another Relation Between Approaches to the Schottky Problem
The recent extensive work on different approaches to the Schottky problem has produced marked progress on several fronts. At the same time, it has become apparent that there exist very close…
John B. LittleFeb 13, 1992
Learn
← PreviousPage 48Next →