中科院数学与系统科学研究院
数学研究所
代数几何研讨班
报告人:Prof.Constantin Shramov(Steklov Math. Institute of RAS & HSE University, Russia)
题 目:Birational automorphisms of Severi-Brauer surfaces
时 间:2020.10.29(星期四),14 :30-15:30
地 点:ZOOM ID:822 0226 0347https://us02web.zoom.us/j/82202260347
摘 要:In 2009, I.Dolgachev and V.Iskovskikh classified finite subgroups of the birational automorphism groups of the projective plane over an algebraically closed field of characteristic zero. I will explain an analog of their result for birational automorphism groups of Severi-Brauer surfaces, i.e., surfaces that become isomorphic to the projective plane after passing to the algebraic closure of the base field. The classification is obtained by using geometric techniques based on the Minimal Model Program together with some theory of central simple algebras.
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