The Jordan constant for Cremona group of rank 2
Bull. Korean Math. Soc. 2017 Vol. 54, No. 5, 1859-1871
Published online July 20, 2017
Printed September 30, 2017
Egor Yasinsky
Steklov Mathematical Institute of Russian Academy of Sciences
Abstract : We compute the Jordan constant for the group of birational automorphisms of a projective plane $\mathbb{P}^2_{\kk}$, where $\kk$ is either an algebraically closed field of characteristic 0, or the field of real numbers, or the field of rational numbers.
Keywords : Cremona group, Jordan constant, conic bundle, del Pezzo surface, automorphism group
MSC numbers : Primary 14E07; Secondary 14J26, 14J50, 20B25
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