On conjugacy classes of the Klein simple group in Cremona group

Abban, Hamid

GMJ-15-0068.R1.pdf (253.02 kB)

On conjugacy classes of the Klein simple group in Cremona group

journal contribution

posted on 2016-07-13, 12:18 authored by Hamid Abban

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).

History

School

Science

Department

Mathematical Sciences

Published in

Glasgow Mathematical Journal

Pages

1 - 6

Citation

AHMADINEZHAD, H., 2016. On conjugacy classes of the Klein simple group in Cremona group. Glasgow Mathematical Journal, 59 (2), pp. 395-400.

Publisher

Cambridge University Press / © Glasgow Mathematical Journal Trust

Version

AM (Accepted Manuscript)

Publisher statement

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.

Publication date

2016

Notes

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.