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Three embeddings of the Klein simple group into the Cremona group of rank three by Cheltsov, Ivan; Shramov, Constantin is a scholarly article available to read on EtoBox.

What is Three embeddings of the Klein simple group into the Cremona group of rank three about?

We study the action of the Klein simple group G consisting of 168 elements on two rational threefolds: the three-dimensional projective space and a smooth Fano threefold X of anticanonical degree 22 and index 1. We show that the Cremona group of rank three has at least three non-conjugate subgroups isomorphic to G. As a by-product, we prove that X admits a Kahler-Einstein metric, and we construct a smooth polarized K3 surface of degree 22 with an action of the group G.

Author

Cheltsov, Ivan; Shramov, Constantin

Published

2010

Language

EN