Back to Commutative Algebra Seminar: Fall 2015
Commutative Algebra Seminar
Date: Friday, Sep 11, 2015
Time: 3:10PM - 4:00PM
Location: LCB 222
Kazuma Shimomoto
Nihon University
Title |
A new proof of a theorem of Cohen and Gabber in the positive characteristic case |
Abstract |
This is joint work with Kazuhiko Kurano (Meiji University). Recently, Gabber proved a separable version of Cohen’s structure theorem on complete local rings in positive characteristic. I will talk about a new proof of this theorem. Gabber used this theorem to provea refined alteration theorem. If time permits, I will talk about an application of Gabber’s theorem to a local Bertini theorem for reduced quotients. The Bertini theorem has an application to the specialization method in Iwasawa theory |
Commutative Algebra