On Elements of Prime Order in the Plane Cremona Group over a Perfect Field

DOI10.1093/imrp/rnp061zbMath1188.14007arXiv0707.4305OpenAlexW2156455810MaRDI QIDQ3181984

V. A. Iskovskikh, Igor V. Dolgachev

Publication date: 1 October 2009

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.4305

zbMATH Keywords

positive characteristicCremona groupCremona transformationelements of finite order

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Rational and birational maps (14E05)

Related Items (11)

Quotients of conic bundles ⋮ The Jordan constant for Cremona group of rank 2 ⋮ Subgroups of odd order in the real plane Cremona group ⋮ Automorphisms of real del Pezzo surfaces and the real plane Cremona group ⋮ Finite groups of birational transformations ⋮ Forms of del Pezzo surfaces of degree $5$ and $6$ ⋮ Classification of \(K3\)-surfaces with involution and maximal symplectic symmetry ⋮ Rationality of the quotient of \(\mathbb P^2\) by finite group of automorphisms over arbitrary field of characteristic zero ⋮ Sofic profile and computability of Cremona groups ⋮ Arithmetic toric varieties ⋮ Finite groups acting on Severi-Brauer surfaces

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