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Title: On conjugacy classes of the Klein simple group in Cremona group
Authors: Ahmadinezhad, Hamid
Issue Date: 2016
Publisher: Cambridge University Press / © Glasgow Mathematical Journal Trust
Citation: AHMADINEZHAD, H., 2016. On conjugacy classes of the Klein simple group in Cremona group. Glasgow Mathematical Journal, 59 (2), pp. 395-400.
Abstract: We consider countably many three-dimensional PSL2((Formula presented.) 7)-del Pezzo surface fibrations over ℙ1. Conjecturally, they are all irrational except two families, one of which is the product of a del Pezzo surface with ℙ1. We show that the other model is PSL2((Formula presented.) 7)-equivariantly birational to ℙ2×ℙ1. Based on a result of Prokhorov, we show that they are non-conjugate as subgroups of the Cremona group Cr3(ℂ).
Description: This article has been published in a revised form in Glasgow Mathematical Journal http://dx.doi.org/10.1017/S0017089516000239. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © Glasgow Mathematical Journal Trust.
Version: Accepted for publication
DOI: 10.1017/S0017089516000239
URI: https://dspace.lboro.ac.uk/2134/21966
Publisher Link: http://dx.doi.org/10.1017/S0017089516000239
ISSN: 0017-0895
Appears in Collections:Published Articles (Maths)

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