School of Mathematics Seminars and Lectures
Bad reduction of polarized self maps
by Prof. Lucien Szpiro (City University, New York, USA)
Monday, April 9, 2012
from
to
(Asia/Kolkata)
at Colaba Campus ( AG-77 )
at Colaba Campus ( AG-77 )
Description |
We will analyzed simple conductor and critical conductor for polarized self maps of projective varieties defined over a field with a discrete valuation or a number field or a function field of a smooth curve. We will explain that potential good reduction is equivalent to isotriviality for self maps of the projective n-space . We will also explain a finiteness theorem in the spirit of Shafarevich-Faltings for self maps of the projective line when the critical conductor is fixed. |