Linked alternating forms and linked symplectic Grassmannians
- Author(s): Osserman, Brian;
- Bigas, Montserrat Teixidor i
- et al.
Published Web Locationhttps://arxiv.org/pdf/1101.0825.pdf
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.