ebooks and download videos Search All  Title  Author 
Home / Nonfiction / Mathematics / Number Theory

Cremona Groups and the Icosahedron

| £83.63 | €92.56 | Ca$134.51 | Au$134.11
by Ivan Cheltsov & Constantin Shramov
What is this?DRM-PDF | by download   add to wish list
Cremona Groups and the Icosahedron by Ivan Cheltsov & 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 of V5, including A5-orbits, low-degree curves, invariant anticanonical K3 surfaces, and a mildly singular surface of general type that is a degree five cover of the diagonal Clebsch cubic surface. They also present two birational selfmaps of V5 that commute with A5-action and use them to determine the whole group of A5-birational automorphisms. As a result of this study, they produce three non-conjugate icosahedral subgroups in the Cremona group of rank 3, one of them arising from the threefold V5.

This book presents up-to-date tools for studying birational geometry of higher-dimensional varieties. In particular, it provides readers with a deep understanding of the biregular and birational geometry of V5.

To view this DRM protected ebook on your desktop or laptop you will need to have Adobe Digital Editions installed. It is a free software. We also strongly recommend that you sign up for an AdobeID at the Adobe website. For more details please see FAQ 1&2. To view this ebook on an iPhone, iPad or Android mobile device you will need the Adobe Digital Editions app, or BlueFire Reader or Txtr app. These are free, too. For more details see this article.

SHARE  Share by Email  Share on Facebook  Share on Twitter  Share on Linked In  Share on Delicious
or call in the US toll free 1-888-866-9150 product ID: 773016

Ebook Details
Pages: 527
Size: 8.0 MB
Publisher: CRC Press
Date published:   2015
ISBN: 9781482251609 (DRM-PDF)

DRM Settings
Copying:not allowed
Printing:not allowed
Read Aloud:  not allowed

This product is listed in the following categories:

Nonfiction > Mathematics > Algebra
Nonfiction > Mathematics > Geometry
Nonfiction > Mathematics > Number Theory

If you find anything wrong with this product listing, perhaps the description is wrong, the author is incorrect, or it is listed in the wrong category, then please contact us. We will promptly address your feedback.

Submit 5 page SummaryWhat is this?

© 2016