Linked alternating forms and linked symplectic Grassmannians

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

2011-01-04

arxiv.org/abs/1101.0825v1

Mathematics

Algebraic Geometry

15 pages

Scientific paper

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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