Five embeddings of one simple group

Cheltsov, Ivan; Shramov, Constantin

doi:10.1090/S0002-9947-2013-05768-6

Five embeddings of one simple group
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by Ivan Cheltsov and Constantin Shramov PDF

Trans. Amer. Math. Soc. 366 (2014), 1289-1331 Request permission

Abstract:

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 $\mathrm {A}_6$. As an application, we obtain that $\mathrm {Bir}(\mathbb {P}^{3})$ has at least five non-conjugate subgroups isomorphic to $\mathrm {A}_{6}$.

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