Linked alternating forms and linked symplectic Grassmannians
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Linked alternating forms and linked symplectic Grassmannians

  • Author(s): Osserman, Brian
  • Bigas, Montserrat Teixidor i
  • et al.

Published Web Location

https://arxiv.org/pdf/1101.0825.pdf
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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.

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