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Iskovskikh Seminar
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Birational transformations of projective spaces A. V. Zaitsev |
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Abstract: Over non-algebraically closed field k there are birational automorphisms, which are regular at every k-point. These automorphisms form a subgroup of the Cremona group, and each such automorphism induce a permutation of points of projective space. Following a paper by Serge Cantat, I will show, which permutations of points of projective space over finite field can be obtained via these birational automorphisms. More precisely, I will prove, that each permutation of points of projective space |