Cremona Groups and the Icosahedron |
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| Author:
| Cheltsov, Ivan
Shramov, Constantin |
| ISBN: | 978-1-4822-5160-9 |
| Publication Date: | Aug 2015 |
| Publisher: | CRC Press LLC
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| Imprint: | Chapman & Hall/CRC |
| Book Format: | Digital (delivered electronically) |
| List Price: | USD $58.95 |
Book Description:
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This work focuses on the Cremona groups of ranks 2 and 3 and describes the beautiful appearances of the icosahedral group A5 in them. The authors present interesting results that highlight the beauty of icosahedral symmetries of the variety V5. 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.
This work focuses on the Cremona groups of ranks 2 and 3 and describes the beautiful appearances of the icosahedral group A5 in them. The authors present interesting results that highlight the beauty of icosahedral symmetries of the variety V5. 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.