The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
By the results of the author and Chiantini in [3], on a general quintic threefold X⊂P 4 the minimum integer p for which there exists a positive dimensional family of irreducible rank p vector bundles on X without intermediate cohomology is at least three. In this paper we show that p≤4, by constructing series of positive dimensional families of rank 4 vector bundles on X without intermediate cohomology. The general member of such family is an indecomposable bundle from the extension class Ext 1...
In this paper all non-splitting rank-two vector bundles E without intermediate cohomology on a general quartic hypersurface X in P4 are classified. In particular, the existence of some curves on a general quartic hypersurface is proved.
We survey some parts of the vast literature on vector bundles on Hirzebruch surfaces, focusing on the rank-two case.
In this article, we survey recent work on the construction and geometry of representations of a quiver in the category of coherent sheaves on a projective algebraic manifold. We will also prove new results in the case of the quiver • ← • → •.
We give a lower bound for the Seshadri constants of ample vector bundles which depends only on the numerical properties of the Chern classes and on a “stability” condition.
On considère l’espace de modules des fibrés stables de rang sur , de classes de Chern , étant un corps algébriquement clos de caractéristique quelconque. Si () ou (), on sait ([7], [9]) que a une composante irréductible dont le point générique a la cohomologie naturelle. Nous avons calculé ([16]) la résolution minimale de . Dans cet article, nous voulons déterminer celle de si où est le plus petit entier tel que . Par un procédé standard rappelé dans [16], on se ramène à des...
We characterize minimal free resolutions of homogeneous bundles on . Besides
we study stability and simplicity of homogeneous bundles on by means of
their minimal free resolutions; in particular we give a criterion to see when a
homogeneous bundle is simple by means of its minimal resolution in the case the first
bundle of the resolution is irreducible.
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 . On considère deux classes orthogonales dans l’algèbre de Grothendieck telles que est de rang strictement positif et est de rang zéro, et on note et les espaces de modules de faisceaux semi-stables de classe , respectivement sur . Il existe sur (resp. ) un fibré déterminant...
Currently displaying 1 –
10 of
10