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A remark on subbundles of symplectic and orthogonal vector bundles over curves

George H. Hitching
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Abstract

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.

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George H. Hitching. 2005-09-02. A remark on subbundles of symplectic and orthogonal vector bundles over curves. https://arxiv.org/abs/math/0407323

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