Bad reduction of polarized self maps

by Prof. Lucien Szpiro (City University, New York, USA)

Monday 9 Apr 2012, 16:30 → 17:30 Asia/Kolkata

AG-77 (Colaba Campus)

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.