Back to Algebraic Geometry Seminar: Fall 2010
Algebraic Geometry Seminar
Date: Friday, Sep 10, 2010
Time: 3:30PM - 4:30PM
Location: LCB 323
Olivier Serman
Université de Lille 1
Title |
Local factoriality through products and quotients |
Abstract |
(Q-)factoriality of local rings defines a fairly nice kind of singularities. However, to some extent, this notion is not so well behaved. In particular, it is not local in the étale topology. In this talk we show that it is a Zariski-open property. We investigate then how local factoriality is preserved by taking products. Unsurprisingly, factoriality of GIT quotients is far more involved. If time permits, we will explain how a very basic result describing divisor class groups of local rings in a quotient easily leads to non trivial information about the singular locus of some moduli spaces of bundles on curves. |
Algebraic Geometry