Algebraic Geometry Seminar

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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.

Synopsis:

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.