Cremona Groups and the Icosahedron

by Ivan Cheltsov and Constantin Shramov

Cremona Groups and the Icosahedron focuses on the Cremona groups of ranks 2 and 3 and describes the beautiful appearances of the icosahedral group A5 in them. The book surveys known facts about surfaces with an action of A5, explores A5-equivariant geometry of the quintic del Pezzo threefold V5, and gives a proof of its A5-birational rigidity.

The authors explicitly describe many interesting A5-invariant subvarieties...

• Format: Hardcover
• Language: English
• ISBN: 1482251590
• ISBN13: 9781482251593
• Release Date: August 2015
• Publisher: CRC Press
• Length: 528 Pages
• Weight: 1.95 lbs.
• Dimensions: 1.2" x 6.2" x 9.2"