Cremona Groups and the Icosahedron
Published on 21. August 2015
527 pages
978-1-040-21341-4 (ISBN)
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
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
File size
1,71 MB
ISBN-13
978-1-040-21341-4 (9781040213414)
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Schweitzer Classification
Other editions
Additional editions
Ivan Cheltsov | Constantin Shramov
Cremona Groups and the Icosahedron
Book
08/2015
1st Edition
Chapman & Hall/CRC
€233.70
Article not available for order
Persons
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.
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.
Content
Preliminaries. Icosahedral Group. Quintic del Pezzo Threefold. Invariant Subvarieties. Singularities of Linear Systems.
