Biregular Cremona transformations of the plane

Abstract : We study Cremona transformations that induce bijections on the k-rational points. These form a subgroup inside the Cremona group. When k is a finite field, we study the possible permutations induced on P 2 (k), with special attention to the case of characteristic two.
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Submitted on : Monday, October 14, 2019 - 10:32:26 AM
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Shamil Asgarli, Kuan-Wen Lai, Masahiro Nakahara, Susanna Zimmermann. Biregular Cremona transformations of the plane. 2019. ⟨hal-02314974⟩

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