研讨班报告

代数几何研讨班:Birational automorphisms of Severi-Brauer surfaces

发布时间:2020-10-13
 

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 ShramovSteklov Math. Institute of RAS & HSE University, Russia

 Birational automorphisms of Severi-Brauer surfaces

  2020.10.29(星期四),14 :30-15:30

  点:ZOOM ID822 0226 0347https://us02web.zoom.us/j/82202260347

  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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