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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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https://hal.archives-ouvertes.fr/hal-02314974
Contributor : Susanna Zimmermann <>
Submitted on : Monday, October 14, 2019 - 10:32:26 AM
Last modification on : Monday, March 9, 2020 - 6:16:01 PM
Long-term archiving on: : Wednesday, January 15, 2020 - 5:11:16 PM

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  • HAL Id : hal-02314974, version 1

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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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