Linked alternating forms and linked symplectic Grassmannians
Algebraic Geometry
2011-01-06 v1
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.
Cite
@article{arxiv.1101.0825,
title = {Linked alternating forms and linked symplectic Grassmannians},
author = {Brian Osserman and Montserrat Teixidor i Bigas},
journal= {arXiv preprint arXiv:1101.0825},
year = {2011}
}
Comments
15 pages