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Back to Algebraic Geometry Seminar: Fall 2019

Algebraic Geometry Seminar


Date: Tuesday, Oct 1, 2019

Time: 3:30PM - 4:30PM

Location: LCB 222


Gebhard Martin

University of Bonn

Title

Automorphisms of unnodal Enriques surfaces

Abstract

It follows from an observation of A. Coble in 1919 that the automorphism group of an unnodal Enriques surface contains the 2-congruence subgroup of the Weyl group of the E_{10}-lattice. In this talk, I will explain how much bigger the automorphism group of an unnodal Enriques surface can be. Furthermore, I will determine the automorphism group of a generic Enriques surface with smooth K3 cover in arbitrary characteristic, improving the corresponding result of W. Barth and C. Peters for very general Enriques surfaces over the complex numbers.

Algebraic Geometry

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