Personal tools
You are here: Home Publications A short note on vector bundles on curves

A short note on vector bundles on curves

Martin Kreidl

Number 12
Author Martin Kreidl
Year 2010

Beauville and Laszlo give an interpretation of the affine Grassmannian for Gl_n over a field k as a moduli space of, loosely speaking, vector bundles over a projective curve together with a trivialization over the complement of a fixed closed point. In order to establish this correspondence, they have to show that descent for vector bundles holds in a situation which is not a classical fpqc-descent situation. They prove this as a consequence of an abstract descent lemma. It turns out, however, that one can avoid this descent lemma by using a simple approximation-argument, which leads to a more direct prove of the above mentioned correspondence.

More information about this publication…

Document Actions
January 2019 »
January
MoTuWeThFrSaSu
123456
78910111213
14151617181920
21222324252627
28293031