Arithmetic moduli of Enriques Surfaces

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• Christian Liedtke (Bonn)
• Wednesday 02 May 2012, 14:15-15:15
• MR 13, CMS.

If you have a question about this talk, please contact Caucher Birkar.

We classify Enriques surfaces in positive characteristic, with a special focus on characteristic 2 (the most difficult case). It turns out that Enriques surfaces arise in every characteristic as quotients of certain complete intersections by finite flat group schemes. Using this classification, we construct the moduli space over the integers, and determine its structure (components, singularities, birational geometry). As a byproduct, we deduce lifting of Enriques surfaces to char. zero.

This talk is part of the Algebraic Geometry Seminar series.

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