Algebraic Geometry Seminar
Lefschetz Hyperplane Theorems in Arakelov Geometry
Speaker: Federico Buonerba, Courant Institute of Mathematical Sciences
Location: Warren Weaver Hall 1314
Date: Tuesday, October 4, 2016, 3:30 p.m.
We will discuss Lefschetz theorems on the homotopy groups of hyperplane sections in the arithmetic setting, i.e. for a divisor, ample in the Arakelov sense, over a projective scheme defined over the ring of integers in a number field. An interesting corollary is that the integral model of a generic complete intersection curve of big height, is a simply connected arithmetic surface. Joint work with Michael McQuillan.