Splitting criteria for vector bundles on the symplectic isotropic Grassmannian

We extend a theorem of Ottaviani on cohomological splitting criterion for vector bundles over the Grassmannian to the case of the symplectic isotropic Grassmanian. We find necessary and sufficient conditions for the case of the Grassmanian of symplectic isotropic lines. For the general case the gene...

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Bibliographic Details
Main Authors: Pedro Macias Marques, Luke Oeding
Format: Article
Language:English
Published: Università degli Studi di Catania 2009-11-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/761