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Structure of Algebraic Groups and Geometric Applications
 
Michael Brion University of Grenoble I, Martin d’Heres, France
Preena Samuel Institute of Mathematical Science, Tamilnadu, India
V. Uma Indian Institute of Technology, Chennai, India
A publication of Hindustan Book Agency
Structure of Algebraic Groups and Geometric Applications
Softcover ISBN:  978-93-80250-46-5
Product Code:  HIN/55
List Price: $48.00
AMS Member Price: $38.40
Please note AMS points can not be used for this product
Structure of Algebraic Groups and Geometric Applications
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Structure of Algebraic Groups and Geometric Applications
Michael Brion University of Grenoble I, Martin d’Heres, France
Preena Samuel Institute of Mathematical Science, Tamilnadu, India
V. Uma Indian Institute of Technology, Chennai, India
A publication of Hindustan Book Agency
Softcover ISBN:  978-93-80250-46-5
Product Code:  HIN/55
List Price: $48.00
AMS Member Price: $38.40
Please note AMS points can not be used for this product
  • Book Details
     
     
    Hindustan Book Agency
    Volume: 552012; 128 pp
    MSC: Primary 20; 14;

    This book originates from a series of 10 lectures given by Michel Brion at the Chennai Mathematical Institute during January 2011. The book presents Chevalley's theorem on the structure of connected algebraic groups, over algebraically closed fields, as the starting point of various other structure results developed in the recent past.

    Chevalley's structure theorem states that any connected algebraic group over an algebraically closed field is an extension of an abelian variety by a connected affine algebraic group. This theorem forms the foundation for the classification of anti-affine groups which plays a central role in the development of the structure theory of homogeneous bundles over abelian varieties and for the classification of complete homogeneous varieties. All these results are presented in this book.

    The book begins with an overview of the results, the proofs of which constitute the rest of the book. Various open questions also have been indicated in the course of the exposition. This book assumes certain preliminary knowledge of linear algebraic groups, abelian varieties, and algebraic geometry.

    A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

    Readership

    Graduate students and research mathematicians interested in algebraic geometry.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 552012; 128 pp
MSC: Primary 20; 14;

This book originates from a series of 10 lectures given by Michel Brion at the Chennai Mathematical Institute during January 2011. The book presents Chevalley's theorem on the structure of connected algebraic groups, over algebraically closed fields, as the starting point of various other structure results developed in the recent past.

Chevalley's structure theorem states that any connected algebraic group over an algebraically closed field is an extension of an abelian variety by a connected affine algebraic group. This theorem forms the foundation for the classification of anti-affine groups which plays a central role in the development of the structure theory of homogeneous bundles over abelian varieties and for the classification of complete homogeneous varieties. All these results are presented in this book.

The book begins with an overview of the results, the proofs of which constitute the rest of the book. Various open questions also have been indicated in the course of the exposition. This book assumes certain preliminary knowledge of linear algebraic groups, abelian varieties, and algebraic geometry.

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

Readership

Graduate students and research mathematicians interested in algebraic geometry.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.