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Back to Algebraic Geometry Seminar: Spring 2017

Algebraic Geometry Seminar


Date: Tuesday, Feb 21, 2017

Time: 3:30PM - 4:30PM

Location: LCB 219

Room Change: JWB 333


Donghai Pan

Stanford University

Title

Galois cyclic covers of the projective line and pencils of Fermat hypersurfaces

Abstract

Classically, there are two objects that are particularly interesting to algebraic geometers: hyperelliptic curves and quadrics. The connection between these two seemingly unrelated objects was first revealed by M. Reid, which roughly says that there’s a correspondence between hyperelliptic curves and pencil of quadrics. I’ll give a brief review of Reid’s work and then describe a higher degree generalization of the correspondence.

Algebraic Geometry

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