Article contents
Lagrangian subbundles of symplectic bundles over a curve
Published online by Cambridge University Press: 22 February 2012
Abstract
A symplectic bundle over an algebraic curve has a natural invariant sLag determined by the maximal degree of its Lagrangian subbundles. This can be viewed as a generalization of the classical Segre invariants of a vector bundle. We give a sharp upper bound on sLag which is analogous to the Hirschowitz bound on the classical Segre invariants. Furthermore, we study the stratifications induced by sLag on moduli spaces of symplectic bundles, and get a full picture for the case of rank four.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 153 , Issue 2 , September 2012 , pp. 193 - 214
- Copyright
- Copyright © Cambridge Philosophical Society 2012
References
REFERENCES
- 8
- Cited by