(also nonabelian homological algebra)
Context
Basic definitions
Stable homotopy theory notions
Constructions
Lemmas
Homology theories
Theorems
A rational number associated with a coherent sheaf over a curve: the degree divided by the rank:
For vector bundles: “normalized Chern character” (Shatz 77)
e.g. (Huybrechts-Lehn 96, def. 1.2.11)
This is what enters the condition on stable coherent sheaves.
Shatz 1977
Michael Atiyah, Raoul Bott, section 7 of The Yang-Mills equations over Riemann surfaces, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
Vol. 308, No. 1505 (Mar. 17, 1983), pp. 523-615 (jstor, lighning summary)
Daniel Huybrechts, Manfred Lehn, The Geometry of the Moduli Spaces of Sheaves, 1996 (pdf)
Last revised on October 3, 2018 at 14:49:12. See the history of this page for a list of all contributions to it.