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Linked alternating forms and linked symplectic Grassmannians
Published Web Location
https://arxiv.org/pdf/1101.0825.pdfNo data is associated with this publication.
Abstract
Motivated by applications to higher-rank Brill-Noether theory and the Bertram-Feinberg-Mukai conjecture, we introduce the concepts of linked alternating and linked symplectic forms on a chain of vector bundles, and show that the linked symplectic Grassmannians parametrizing chains of subbundles isotropic for a given linked symplectic form has good dimensional behavior analogous to that of the classical symplectic Grassmannian.