Models of curves

Tim Dokchitser (University of Bristol)

Wednesday 16th October 16:00-17:00 Maths 311B

Abstract

I will explain an approach to constructing regular and semistable models of 1-dimensional families of curves. It is based on the ideas that are well-known for varieties over the complex numbers in toric and tropical geometry, but can be imported to arithmetic surfaces as well. This often allows to compute important invariants of the curve – conductor, semistable type, etale cohomology etc. in an elementary way.

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