nLab stable bundle

Contents

to be merged with stable vector bundle.

Contents

Idea

A vector bundle over a Riemann surface is called stable (resp. semistable) if the ratio of its degree and its rank is bigger (resp. bigger or equal) than this ratio for any of its subbundles.

This means that it is a stable point under the action of automorphisms.

References

Many references are at moduli space of bundles. The notion was introduced by David Mumford in the context of GIT in 1960-s: