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Sections du fibré déterminant sur l'espace de modules des faisceaux semi-stables de rang 2 sur le plan projectif

Gentiana Danila (2000)

Annales de l'institut Fourier

La conjecture de “dualité étrange” de Le Potier donne un isomorphisme entre l’espace des sections du fibré déterminant sur deux espaces de modules différents de faisceaux semi-stables sur le plan projectif $ℙ_{2}$ . Si on considère deux classes orthogonales $c, u$ dans l’algèbre de Grothendieck $K (ℙ_{2})$ telles que $c$ est de rang strictement positif et $u$ est de rang zéro, on note $M_{c}$ et $M_{u}$ les espaces de modules de faisceaux semi-stables de classe $c$ , respectivement $u$ , sur $ℙ_{2}$ . Il existe sur $M_{c}$ (resp. $M_{u}$ ) un fibré déterminant...

Self-adjoint determinantal representations of real plane curves.

Victor Vinnikov (1993)

Mathematische Annalen

Singular locus of the theta divisor for vector bundles of rank two.

Montserrat Teixidor i Bigas (1995)

Mathematische Zeitschrift

Singularities of hyperdeterminants

Jerzy Weyman, Andrei Zelevinsky (1996)

Annales de l'institut Fourier

We study the singular locus of the variety of degenerate hypermatrices of an arbitrary format. Our main result is a classification of irreducible components of the singular locus. Equivalently, we classify irreducible components of the singular locus for the projectively dual variety of a product of several projective spaces taken in the Segre embedding.

Special line bundles on curves with involution.

Vassil Kanev (1996)

Mathematische Zeitschrift

Special linear systems and syzygies

Alberto Alzati (2008)

Collectanea Mathematica

Stanley decompositions of the Bracket ring.

Bernd Sturmfels, Neil White (1990)

Mathematica Scandinavica

Tensor complexes: multilinear free resolutions constructed from higher tensors

Christine Berkesch Zamaere, Daniel Erman, Manoj Kummini, Steven V. Sam (2013)

Journal of the European Mathematical Society

The most fundamental complexes of free modules over a commutative ring are the Koszul complex, which is constructed from a vector (i.e., a 1-tensor), and the Eagon-Northcott and Buchsbaum-Rim complexes, which are constructed from a matrix (i.e., a 2-tensor). The subject of this paper is a multilinear analogue of these complexes, which we construct from an arbitrary higher tensor. Our construction provides detailed new examples of minimal free resolutions, as well as a unifying view on a wide variety...

The determinant line bundle over moduli spaces of instantons on abelian surfaces.

Antony Maciocia (1994)

Mathematische Zeitschrift

The dimension of certain catalecticant varieties.

Aldo Conca, Giuseppe Valla (2004)

Collectanea Mathematica

The discriminants of curves of genus 2

Takeshi Saito (1989)

Compositio Mathematica

The existence of equivariant pure free resolutions

David Eisenbud, Gunnar Fløystad, Jerzy Weyman (2011)

Annales de l’institut Fourier

Let $A = K [x_{1}, \dots, x_{m}]$ be a polynomial ring in $m$ variables and let $d = (d_{0} < \dots < d_{m})$ be a strictly increasing sequence of $m + 1$ integers. Boij and Söderberg conjectured the existence of graded $A$ -modules $M$ of finite length having pure free resolution of type $d$ in the sense that for $i = 0, \dots, m$ the $i$ -th syzygy module of $M$ has generators only in degree $d_{i}$ .This paper provides a construction, in characteristic zero, of modules with this property that are also $G L (m)$ -equivariant. Moreover, the construction works over rings of the form $A \otimes_{K} B$ where $A$ is a polynomial...

Currently displaying 41 – 60 of 61

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Displaying 41 – 60 of 61

Sections du fibré déterminant sur l'espace de modules des faisceaux semi-stables de rang 2 sur le plan projectif

Self-adjoint determinantal representations of real plane curves.

Singular locus of the theta divisor for vector bundles of rank two.

Singularities of hyperdeterminants

Special line bundles on curves with involution.

Special linear systems and syzygies

Stanley decompositions of the Bracket ring.

Tensor complexes: multilinear free resolutions constructed from higher tensors

The determinant line bundle over moduli spaces of instantons on abelian surfaces.

The dimension of certain catalecticant varieties.

The discriminants of curves of genus 2

The existence of equivariant pure free resolutions

The Geometry of Representations of Am .

The Grothendieck group of GL(F)×GL(G)-equivariant modules over the coordinate ring of determinantal varieties

The Koszul Algebra of a Codimension 2 Embedding.

The normality of closures of orbits in a Lie algebra.

The space of tropically collinear points is shellable.

Topological properties of certain incomplete regular intersections

Ueber v. Staudt's Rechnung mit Würfen und verwandte Processe

Une involution sur un espace de modules de fibrés instantons

Currently displaying 41 – 60 of 61