Seminar Algebra and Geometry: Hanspeter Kraft (Universität Basel)

Endomorphisms of Varieties (joint work with Rafael Andrist)

Let X,Y be two complex varieties and assume that there is an (abstract) isomorphism of the semigroups End(X) and End(Y). If one of the varieties is affine and contains a copy of the affine line, then X and Y are isomorphic, up to a field automorphism. I will explain the proof of this amazing result which is base on an old theorem due to Dick Palais.

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