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 AbbanWe 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 JournalPages
1 - 6Citation
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 TrustVersion
- 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
2016Notes
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.ISSN
0017-0895eISSN
1469-509XPublisher version
Language
- en