Lagrangian subbundles of symplectic bundles over a curve
Journal article, Peer reviewed
Copyright © cambridge philosophical society 2012
Permanent lenke
https://hdl.handle.net/10642/1404Utgivelsesdato
2012-02-22Metadata
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Originalversjon
Choe, I. & Hitching, G.H. (2012). Lagrangian subbundles of symplectic bundles over a curve. Mathematical proceedings of the Cambridge Philosophical Society, 153 (2) http://dx.doi.org/10.1017/S0305004112000096Sammendrag
A symplectic bundle over an algebraic curve has a natural invariant s Lag 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 s Lag which is analogous to the Hirschowitz bound on the classical Segre invariants. Furthermore, we study the stratifications induced by s Lag on moduli spaces of symplectic bundles, and get a full picture for the case of rank four