Bijective Cremona transformations of the plane
| Autor: | Shamil Asgarli, Kuan-Wen Lai, Masahiro Nakahara, Susanna Zimmermann |
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| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: | |
| Popis: | We study the birational self-maps of the projective plane over finite fields that induce permutations on the set of rational points. As a main result, we prove that no odd permutation arises over a non-prime finite field of characteristic two, which completes the investigation initiated by Cantat about which permutations can be realized this way. Main ingredients in our proof include the invariance of parity under groupoid conjugations by birational maps, and a list of generators for the group of such maps. 51 pages, removed section 5.A and made improvements on exposition, to appear in Selecta Mathematica |
| Databáze: | OpenAIRE |
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