School of Mathematics Seminars and Lectures

What Frobenius did to syzygy bundles

by Prof. Holger Brenner (University of Osnabrueck, Germany)

Friday, July 29, 2011 from to (Asia/Kolkata)
at Colaba Campus ( AG-77 )
Description
In this talk I will discuss the pull-back of a semistable vector bundle on a smooth projective curve under the Frobenius morphism. I will describe explicit examples of  stable rank two syzygy bundles which are isomorphic to their Frobenius pull-back
(joint work with Kaid) and give two classes of examples of bundles on a relative curve over the affine line where generically the bundle is strongly semistable, but not so for special points (joint work with Staebler).