Bijective Cremona transformations of the plane

DOI10.1007/s00029-022-00768-0OpenAlexW4288093326WikidataQ114231873 ScholiaQ114231873MaRDI QIDQ832425

Susanna Zimmermann, Masahiro Nakahara, Shamil Asgarli, Kuan-Wen Lai

Publication date: 25 March 2022

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.05302

zbMATH Keywords

paritybijective Cremona transformationsbirational permutations

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07)

Uses Software

• Magma

Cites Work

• Normal subgroups in the Cremona group
• Non-simplicity of the Cremona group over any field
• Birational permutations
• On groups containing the projective special linear group
• Maximal subgroups of symmetric groups defined on projective spaces over finite fields
• On permutation groups containing \(PSL_n(q)\) as a subgroup
• The Magma algebra system. I: The user language
• Actions of Cremona groups on CAT\((0)\) cube complexes
• A note on finite ring extensions
• Cremona Groups of Real Surfaces
• Enumerative Algebraic Geometry of Conics
• Rational Points on Varieties
• Lectures on Resolution of Singularities (AM-166)
• Two generators for the general linear groups over finite fields
• Groupes de Cremona, connexité et simplicité
• The Arithmetic of Elliptic Curves
• Primitive Roots in the Quadratic Extension of a Finite Field
• Rational varieties: algebra, geometry and arithmetic
• On the Maximality of Psl(D + 1, q ), d ⩾ 2
• Finite Subgroups of the Plane Cremona Group
• The Cremona group
• Central Simple Algebras and Galois Cohomology
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