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arXiv · 1101.0825

Linked alternating forms and linked symplectic Grassmannians

Brian Osserman·Montserrat Teixidor i Bigas
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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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Brian Osserman, Montserrat Teixidor i Bigas. 2011-01-04. Linked alternating forms and linked symplectic Grassmannians. https://arxiv.org/abs/1101.0825

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