nLab
stable bundle

Contents

to be merged with stable vector bundle.

Context

Bundles

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.

Properties

References

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

See also

Last revised on July 19, 2021 at 09:19:33. See the history of this page for a list of all contributions to it.