Five embeddings of one simple group

Details Five embeddings of one simple group Five embeddings of one simple group

2009-10-09

arxiv.org/abs/0910.1783v6

Mathematics

Algebraic Geometry

36 pages, including an appendix by Yury Prokhorov

Scientific paper

We propose a new method to study birational maps between Fano varieties based
on multiplier ideal sheaves. Using this method, we prove equivariant birational
rigidity of four Fano threefolds acted on by the group A6. As an application,
we obtain that the Cremona group of rank 3 has at least five non-conjugate
subgroups isomorphic to A6.

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