Skip to content

Algebraic Geometry papers — page 5

alg-geomBrowse archive

On The Projective Normality of Smooth Surfaces of degree nine
We investigate the projective normality of smooth, linearly normal surfaces of degree 9. All non projectively normal surfaces which are not scrolls over a curve are classified. Results on the…
Gian Mario Besana, Sandra Di RoccoOct 7, 1997
Learn
Special Lagrangian Fibrations I: Topology
In 1996, Strominger, Yau and Zaslow made a conjecture about the geometric relationship between two mirror Calabi-Yau manifolds. Roughly put, if X and Y are a mirror pair of such manifolds, then X…
Mark GrossOct 6, 1997
Learn
A sparse effective Nullstellensatz
We present bounds for the sparseness and for the degrees of the polynomials in the Nullstellensatz. Our bounds depend mainly on the unmixed volume of the input polynomial system. The degree bounds…
Mart'in SombraOct 1, 1997
Learn
Convex polytopes and linear algebra
This paper defines, for each convex polytope Δ, a family HwΔ of vector spaces. The definition uses a combination of linear algebra and combinatorics. When what is called exact calculation holds,…
Jonathan FineOct 1, 1997
Learn
An algebraic cell decomposition of the nonnegative part of a flag variety
We study the nonnegative part B 0 of the flag variety of a reductive algebraic group G, as defined by Lusztig. Using positivity properties of the canonical basis it is shown that B 0 has…
K. RietschSep 30, 1997
Learn
Skew Schubert functions and the Pieri formula for flag manifolds
We show the equivalence of the Pieri formula for flag manifolds and certain identities among the structure constants, giving new proofs of both the Pieri formula and of these identities. A key step…
Nantel Bergeron, Frank SottileSep 30, 1997
Learn
On fibre space structures of a projective irreducible symplectic manifold
In this note, we investigate fibre space structures of a projective irreducible symplectic manifold. We prove that an 2n-dimensional projective irreducible symplectic manifold admits only an…
Daisuke MatsushitaSep 30, 1997
Learn
Dimension of linear systems: a combinatorial and differential approach
We give upper-bounds for the dimension of some linear systems. The theorem improves the differential Horace method introduced by Alexander-Hirschowitz, and was conjectured by Simpson. Possible…
L. EvainSep 29, 1997
Learn
K3 Surfaces with Nine Cusps
By a K3-surface with nine cusps I mean a surface with nine isolated double points A2, but otherwise smooth, such that its minimal desingularisation is a K3-surface. It is shown, that such a surface…
W. BarthSep 29, 1997
Learn
A Survey of the Hodge Conjecture for Abelian Varieties
We review what is known about the Hodge conjecture for abelian varieties, with some emphasis on how Mumford-Tate groups have been applied to this problem.
B. Brent GordonSep 26, 1997
Learn
Vector Bundles over Elliptic Fibrations
This paper gives various methods for constructing vector bundles over elliptic curves and more generally over families of elliptic curves. We construct universal families over generalized elliptic…
Robert Friedman, John W. Morgan, Edward WittenSep 26, 1997
Learn
Resolution of Singularities
This article is an exposition of an elementary constructive proof of canonical resolution of singularities in characteristic zero, presented in detail in Invent. Math. 128 (1997), 207-302. We define…
Edward Bierstone, Pierre D. MilmanSep 25, 1997
Learn
On Mirror Symmetry Conjecture for Schoen's Calabi-Yau 3 folds
In this paper, we verify a part of the Mirror Symmetry Conjecture for Schoen's Calabi-Yau 3-fold, which is a special complete intersection in a toric variety. We calculate a part of the…
Shinobu Hosono, Masa-Hiko Saito, Jan StienstraSep 25, 1997
Learn
On the width of lattice-free simplices
Among integral polytopes (vertices with integral coordinates), lattice-free polytopes - intersecting the lattice ONLY at their vertices- are of particular interestin combinatorics and geometry of…
Jean-Michel KantorSep 24, 1997
Learn
Wall-Crossing functors and D-modules
We study Translation functors and Wall-Crossing functors on infinite dimensional representations of a complex semisimple Lie algebra using D-modules. This functorial machinery is then used to prove…
Alexander Beilinson, Victor GinzburgSep 22, 1997
Learn
On Moduli of G-bundles over Curves for exceptional G
Let G be a simple and simply connected complex Lie group, g its Lie algebra. I remove the restriction ``G is of classical type or G2'' made on G in the papers of…
Christoph SorgerSep 22, 1997
Learn
A generalization of curve genus for ample vector bundles, I
A new genus g=g(X,) is defined for the pairs (X,) that consist of n-dimensional compact complex manifolds X and ample vector bundles of rank r less than n on X. In case…
Hironobu IshiharaSep 22, 1997
Learn
A generalization of curve genus for ample vector bundles, II
Let X be a compact complex manifold of dimension n 2 and an ample vector bundle of rank r<n on X. As the continuation of Part I, we further study the properties of g(X,) that is…
Yoshiaki Fukuma, Hironobu IshiharaSep 22, 1997
Learn
The family GT of graded quotients of k[x,y] of given Hilbert function
The nonsingular variety GT parametrizes all graded ideals I of R=k[x,y] for which the Hilbert function H(R/I)=T. The variety GT has a natural cellular decomposition: each cell V(E) corresponds to a…
A. Iarrobino, J. YameogoSep 18, 1997
Learn
Very ampleness of adjoint linear systems on smooth surfaces with boundary
Let M be a Q-divisor on a smooth surface over C. In this paper we give criteria for very ampleness of the adjoint of the round-up of M. (Similar results for global generation were given by Ein and…
Vladimir MasekSep 17, 1997
Learn
Kawachi's invariant for normal surface singularities
We study a useful numerical invariant of normal surface singularities, introduced recently by T. Kawachi. Using this invariant, we give a quick proof of the (well-known) fact that all log-canonical…
Vladimir MasekSep 17, 1997
Learn
Degeneracy Schemes and Schubert Varieties
A result of Zelevinsky states that an orbit closure in the space of representations of the equioriented quiver of type Ah is in bijection with the opposite cell in a Schubert variety of a partial…
V. Lakshmibai, Peter MagyarSep 16, 1997
Learn
The Determinant of a Hypergeometric Period Matrix
We consider a function U=e-f0ΠjN fjαj on a real affine space, here f0,..,fN are linear functions, α1, ...,αN complex numbers. The zeros of the functions f1, ..., fN form…
Y. Markov, V. Tarasov, A. VarchenkoSep 15, 1997
Learn
A Complex Hyperbolic Structure for Moduli of Cubic Surfaces
We show that the moduli space M of marked cubic surfaces is biholomorphic to the quotient by a discrete group generated by complex reflections of the complex four-ball minus the reflection…
Daniel Allcock, James A. Carlson, Domingo ToledoSep 12, 1997
Learn
Multiplier Ideals, Vanishing Theorem and Applications
The purpose of this note is to give a survey of the algebraic properties of multiplier ideals, and illustrate some of their applications to classical projective geometry.
Lawrence EinSep 11, 1997
Learn
← PreviousPage 5Next →