Simple finite subgroups of the Cremona group of rank 3

Prokhorov, Yuri

doi:10.1090/S1056-3911-2011-00586-9

Simple finite subgroups of the Cremona group of rank $3$

Author: Yuri Prokhorov
Journal: J. Algebraic Geom. 21 (2012), 563-600
DOI: https://doi.org/10.1090/S1056-3911-2011-00586-9
Published electronically: September 12, 2011
MathSciNet review: 2914804
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Abstract | References | Additional Information

Abstract: We classify all finite simple subgroups of the Cremona group $\mathrm {Cr}_3(\mathbb {C})$.

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Additional Information

Yuri Prokhorov
Affiliation: Department of Higher Algebra, Faculty of Mathematics and Mechanics, Moscow State Lomonosov University, Vorobievy Gory, Moscow, 119 991, Russia — Laboratory of Algebraic Geometry, SU-HSE, 7 Vavilova Str., Moscow, 117312, Russia
Email: prokhoro@gmail.com

Received by editor(s): September 29, 2009
Received by editor(s) in revised form: January 28, 2011
Published electronically: September 12, 2011
Additional Notes: The author was partially supported by RFBR (Grant No. 11-01-00336-a), Leading Scientific Schools (Grants No. 1983.2008.1 and 1987.2008.1), and AG Laboratory HSE (RF government grant ag. 11.G34.31.0023)