Rational surface automorphisms without periodic curves

John Lesieutre (Pennsylvania State University)

23-Mar-2021, 10:00-11:00 (3 years ago)

Abstract: Although there are many examples known of infinite-order automorphisms of rational surfaces, in most cases these automorphisms have at least one periodic curve C (a curve for which f^n(C) = C for some n). I will explain the construction of a class of rational surfaces which admit a large group of automorphisms with no invariant curves. The example makes use of several classical constructions, and the surfaces admit contructions down to three different Coble surfaces.

algebraic geometry

Audience: researchers in the topic


ZAG (Zoom Algebraic Geometry) seminar

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Organizers: Jesus Martinez Garcia*, Ivan Cheltsov*, Jungkai Chen, Jérémy Blanc, Ernesto Lupercio, Yuji Odaka, Zsolt Patakfalvi, Julius Ross, Cristiano Spotti, Chenyang Xu
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