Cremona Groups and the Icosahedron: 1st Edition (e-Book) book cover

Cremona Groups and the Icosahedron

1st Edition

By Ivan Cheltsov, Constantin Shramov

Chapman and Hall/CRC

527 pages

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pub: 2015-08-21
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Description

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 a

Table of Contents

Preliminaries. Icosahedral Group. Quintic del Pezzo Threefold. Invariant Subvarieties. Singularities of Linear Systems.

About the Authors

Ivan Cheltsov is a professor in the School of Mathematics at the University of Edinburgh. Dr. Cheltsov's research focuses on birational geometry and its connections with algebra, geometry, and topology, including del Pezzo surfaces, Fano threefolds, and Cremona groups.

Constantin Shramov is a researcher at Steklov Mathematical Institute and Higher School of Economics in Moscow. Dr. Shramov's research interests include birational geometry, Fano varieties, minimal model program, log-canonical thresholds, Kahler-Einstein metrics, Cremona groups, and birational rigidity.

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT002000
MATHEMATICS / Algebra / General
MAT012000
MATHEMATICS / Geometry / General
MAT022000
MATHEMATICS / Number Theory