nLab
stable bundle
to be merged with stable vector bundle .

Context
Bundles
bundles

Context
Classes of bundles
Universal bundles
Presentations
Examples and Applications
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.

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:

D. Mumford, J. Fogarty, F. Kirwan, (1994), Geometric invariant theory, Ergebnisse der Mathematik und ihrer Grenzgebiete (2) 34 , 3rd ed. Springer 1994
G. Faltings, Stable G-bundles and projective connections , J. Alg. Geometry , 2 (1993) pp. 507–568 MR1211997 Zbl 0790.14019
See also

Revised on November 1, 2013 06:28:53
by

Urs Schreiber
(145.116.130.141)