Abstract
AbstractWe consider countably many three-dimensional PSL2($\mathbb{F}$7)-del Pezzo surface fibrations over ℙ1. Conjecturally, they are all irrational except two families, one of which is the product of a del Pezzo surface with ℙ1. We show that the other model is PSL2($\mathbb{F}$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).
Publisher
Cambridge University Press (CUP)
Reference12 articles.
1. On the birational rigidity of some pencils of Del Pezzo surfaces
2. Five embeddings of one simple group
3. A Minkowski-style bound for the orders of the finite subgroups of the Cremona group of rank 2 over an arbitrary field;Serre;Mosc. Math. J.,2009
4. Log del Pezzo surfaces with simple automorphism groups;Belousov;Proc. Edinb. Math. Soc.,2015
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Equivariant minimal model program;Russian Mathematical Surveys;2021-06-01