Share

The Cremona Group and Its Subgroups

2021-04-13 Education
Download The Cremona Group and Its Subgroups PDF Online Free

Author :
Release : 2021-04-13
Genre : Education
Kind : eBook
Book Rating : 122/5 ( reviews)

GET EBOOK


Book Synopsis The Cremona Group and Its Subgroups by : Julie Déserti

Download or read book The Cremona Group and Its Subgroups written by Julie Déserti. This book was released on 2021-04-13. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to present a portrait of the n n-dimensional Cremona group with an emphasis on the 2-dimensional case. After recalling some crucial tools, the book describes a naturally defined infinite dimensional hyperbolic space on which the Cremona group acts. This space plays a fundamental role in the study of Cremona groups, as it allows one to apply tools from geometric group theory to explore properties of the subgroups of the Cremona group as well as the degree growth and dynamical behavior of birational transformations. The book describes natural topologies on the Cremona group, codifies the notion of algebraic subgroups of the Cremona groups and finishes with a chapter on the dynamics of their actions. This book is aimed at graduate students and researchers in algebraic geometry who are interested in birational geometry and its interactions with geometric group theory and dynamical systems.

The Cremona Group and Its Subgroups

2021 Geometry, Algebraic
Download The Cremona Group and Its Subgroups PDF Online Free

Author :
Release : 2021
Genre : Geometry, Algebraic
Kind : eBook
Book Rating : 523/5 ( reviews)

GET EBOOK


Book Synopsis The Cremona Group and Its Subgroups by : Julie Déserti

Download or read book The Cremona Group and Its Subgroups written by Julie Déserti. This book was released on 2021. Available in PDF, EPUB and Kindle. Book excerpt: "The goal of this book is to present a portrait of the n-dimensional Cremona group with an emphasis on the 2-dimensional case. After recalling some crucial tools, the book describes a naturally defined infinite dimensional hyperbolic space on which the Cremona group acts. This space plays a fundamental role in the study of Cremona groups, as it allows one to apply tools from geometric group theory to explore properties of the subgroups of the Cremona group as well as the degree growth and dynamical behavior of birational transformations. The book describes natural topologies on the Cremona group, codifies the notion of algebraic subgroups of the Cremona groups and finishes with a chapter on the dynamics of their actions. This book is aimed at graduate students and researchers in algebraic geometry who are interested in birational geometry and its interactions with geometric group theory and dynamical systems."--

Cremona Groups and the Icosahedron

2015-08-21 Mathematics
Download Cremona Groups and the Icosahedron PDF Online Free

Author :
Release : 2015-08-21
Genre : Mathematics
Kind : eBook
Book Rating : 604/5 ( reviews)

GET EBOOK


Book Synopsis Cremona Groups and the Icosahedron by : Ivan Cheltsov

Download or read book Cremona Groups and the Icosahedron written by Ivan Cheltsov. This book was released on 2015-08-21. Available in PDF, EPUB and Kindle. Book excerpt: 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

Algebra, Arithmetic, and Geometry

2010-08-05 Mathematics
Download Algebra, Arithmetic, and Geometry PDF Online Free

Author :
Release : 2010-08-05
Genre : Mathematics
Kind : eBook
Book Rating : 457/5 ( reviews)

GET EBOOK


Book Synopsis Algebra, Arithmetic, and Geometry by : Yuri Tschinkel

Download or read book Algebra, Arithmetic, and Geometry written by Yuri Tschinkel. This book was released on 2010-08-05. Available in PDF, EPUB and Kindle. Book excerpt: EMAlgebra, Arithmetic, and Geometry: In Honor of Yu. I. ManinEM consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics.

The Classification of the Finite Simple Groups, Number 10

2023-10-23 Mathematics
Download The Classification of the Finite Simple Groups, Number 10 PDF Online Free

Author :
Release : 2023-10-23
Genre : Mathematics
Kind : eBook
Book Rating : 537/5 ( reviews)

GET EBOOK


Book Synopsis The Classification of the Finite Simple Groups, Number 10 by : Inna Capdeboscq

Download or read book The Classification of the Finite Simple Groups, Number 10 written by Inna Capdeboscq. This book was released on 2023-10-23. Available in PDF, EPUB and Kindle. Book excerpt: This book is the tenth in a series of volumes whose aim is to provide a complete proof of the classification theorem for the finite simple groups based on a fairly short and clearly enumerated set of background results. Specifically, this book completes our identification of the simple groups of bicharacteristic type begun in the ninth volume of the series (see SURV/40.9). This is a fascinating set of simple groups which have properties in common with matrix groups (or, more generally, groups of Lie type) defined both over fields of characteristic 2 and over fields of characteristic 3. This set includes 11 of the celebrated 26 sporadic simple groups along with several of their large simple subgroups. Together with SURV/40.9, this volume provides the first unified treatment of this class of simple groups.

You may also like...