A remark on subbundles of symplectic and orthogonal vector bundles over curves
Abstract
Description
We review the notions of symplectic and orthogonal vector bundles over curves, and the connection between principal parts and extensions of vector bundles. We give a criterion for a certain extension of rank 2n to be symplectic or orthogonal. We then describe almost all of its rank n vector subbundles using graphs of sheaf homomorphisms, and give criteria for the isotropy of these subbundles.
13 pages; refinement of main result added
13 pages; refinement of main result added