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 )
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.