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Iskovskikh Seminar
June 4, 2020 18:00, Moscow, online
 


Birational permutations of projective plane (based on works of S.Cantat and S.Asgarli, K.Lai, M.Nakahara and S.Zimmermann)

A. S. Trepalin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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A. S. Trepalin


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Abstract: Let us consider a projective plane over a finite field K. If a birational transformation and its inverse are defined at each K-point, then this transformation defines a permutation of K-points. In the talk we discuss for which fields we can realize any permutation, and for which not.

Language: English
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