On stable conjugacy of finite subgroups of the plane Cremona group, I

Fedor Bogomolov; Yuri Prokhorov

doi:10.2478/s11533-013-0314-9

On stable conjugacy of finite subgroups of the plane Cremona group, I

Fedor Bogomolov, Yuri Prokhorov

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss the problem of stable conjugacy of finite subgroups of Cremona groups. We compute the stable birational invariant H¹(G, Pic(X)) for cyclic groups of prime order.

Original language	English (US)
Pages (from-to)	2099-2105
Number of pages	7
Journal	Central European Journal of Mathematics
Volume	11
Issue number	12
DOIs	https://doi.org/10.2478/s11533-013-0314-9
State	Published - Dec 2013

Keywords

Birational map
Cremona group
del Pezzo surface

ASJC Scopus subject areas

General Mathematics

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10.2478/s11533-013-0314-9

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title = "On stable conjugacy of finite subgroups of the plane Cremona group, I",

abstract = "We discuss the problem of stable conjugacy of finite subgroups of Cremona groups. We compute the stable birational invariant H1(G, Pic(X)) for cyclic groups of prime order.",

keywords = "Birational map, Cremona group, del Pezzo surface",

author = "Fedor Bogomolov and Yuri Prokhorov",

note = "Funding Information: Both authors were partially supported by AG Laboratory SU-HSE, RF government grant ag. 11.G34.31.0023. The second author was partially supported by the grants RFBR-11-01-00336-a, N.Sh.-5139.2012.1, and Simons-IUM fellowship.",

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doi = "10.2478/s11533-013-0314-9",

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AU - Prokhorov, Yuri

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N2 - We discuss the problem of stable conjugacy of finite subgroups of Cremona groups. We compute the stable birational invariant H1(G, Pic(X)) for cyclic groups of prime order.

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KW - Cremona group

KW - del Pezzo surface

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On stable conjugacy of finite subgroups of the plane Cremona group, I

Abstract

Keywords

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