Gabber, Ofer 1958
Overview
Works:  9 works in 58 publications in 2 languages and 2,274 library holdings 

Genres:  Academic theses 
Roles:  Author, Contributor, htt 
Classifications:  QA179, 512.55 
Publication Timeline
.
Most widely held works by
Ofer Gabber
Pseudoreductive groups by
Brian Conrad(
)
13 editions published in 2010 in English and Undetermined and held by 879 WorldCat member libraries worldwide
"Pseudoreductive groups arise naturally in the study of general smooth linear algebraic groups over nonperfect fields and have many important applications. This selfcontained monograph provides a comprehensive treatment of the theory of pseudoreductive groups and gives their classification in a usable form. The authors present numerous new results and also give a complete exposition of Tits' structure theory of unipotent groups. They prove the conjugacy results (conjugacy of maximal split tori, minimal pseudoparabolic subgroups, maximal split unipotent subgroups) announced by Armand Borel and Jacques Tits, and also give the Bruhat decomposition, of general smooth connected algebraic groups. Researchers and graduate students working in any related area, such as algebraic geometry, algebraic group theory, or number theory, will value this book as it develops tools likely to be used in tackling other problems"
13 editions published in 2010 in English and Undetermined and held by 879 WorldCat member libraries worldwide
"Pseudoreductive groups arise naturally in the study of general smooth linear algebraic groups over nonperfect fields and have many important applications. This selfcontained monograph provides a comprehensive treatment of the theory of pseudoreductive groups and gives their classification in a usable form. The authors present numerous new results and also give a complete exposition of Tits' structure theory of unipotent groups. They prove the conjugacy results (conjugacy of maximal split tori, minimal pseudoparabolic subgroups, maximal split unipotent subgroups) announced by Armand Borel and Jacques Tits, and also give the Bruhat decomposition, of general smooth connected algebraic groups. Researchers and graduate students working in any related area, such as algebraic geometry, algebraic group theory, or number theory, will value this book as it develops tools likely to be used in tackling other problems"
Pseudoreductive groups by
Brian Conrad(
)
10 editions published in 2015 in English and held by 806 WorldCat member libraries worldwide
"Pseudoreductive groups arise naturally in the study of general smooth linear algebraic groups over nonperfect fields and have many important applications. This monograph provides a comprehensive treatment of the theory of pseudoreductive groups and gives their classification in a usable form. In this second edition there is new material on relative root systems and Tits systems for general smooth affine groups, including the extension to quasireductive groups of famous simplicity results of Tits in the semisimple case. Chapter 9 has been completely rewritten to describe and classify pseudosplit absolutely pseudosimple groups with a nonreduced root system over arbitrary fields of characteristic 2 via the useful new notion of 'minimal type' for pseudoreductive groups. Researchers and graduate students working in related areas, such as algebraic geometry, algebraic group theory, or number theory will value this book, as it develops tools likely to be used in tackling other problems"
10 editions published in 2015 in English and held by 806 WorldCat member libraries worldwide
"Pseudoreductive groups arise naturally in the study of general smooth linear algebraic groups over nonperfect fields and have many important applications. This monograph provides a comprehensive treatment of the theory of pseudoreductive groups and gives their classification in a usable form. In this second edition there is new material on relative root systems and Tits systems for general smooth affine groups, including the extension to quasireductive groups of famous simplicity results of Tits in the semisimple case. Chapter 9 has been completely rewritten to describe and classify pseudosplit absolutely pseudosimple groups with a nonreduced root system over arbitrary fields of characteristic 2 via the useful new notion of 'minimal type' for pseudoreductive groups. Researchers and graduate students working in related areas, such as algebraic geometry, algebraic group theory, or number theory will value this book, as it develops tools likely to be used in tackling other problems"
Almost ring theory by
Ofer Gabber(
Book
)
24 editions published in 2003 in English and held by 510 WorldCat member libraries worldwide
"This book develops thorough and complete foundations for the method of almost etale extensions, which is at the basis of Faltings' approach to padic Hodge theory. The reader is assumed to be familiar with general categorical notions, some basic commutative algebra and some advanced homological algebra (derived categories, simplicial methods). Apart from these general prerequisites, the text is as selfcontained as possible. One novel feature of the book  compared with Faltings' earlier treatment  is the systematic exploitation of the cotangent complex, especially for the study of deformations of almost algebras."Jacket
24 editions published in 2003 in English and held by 510 WorldCat member libraries worldwide
"This book develops thorough and complete foundations for the method of almost etale extensions, which is at the basis of Faltings' approach to padic Hodge theory. The reader is assumed to be familiar with general categorical notions, some basic commutative algebra and some advanced homological algebra (derived categories, simplicial methods). Apart from these general prerequisites, the text is as selfcontained as possible. One novel feature of the book  compared with Faltings' earlier treatment  is the systematic exploitation of the cotangent complex, especially for the study of deformations of almost algebras."Jacket
Pseudoreductive Groups by
Brian Conrad(
)
4 editions published between 2010 and 2015 in English and held by 65 WorldCat member libraries worldwide
This monograph provides a comprehensive treatment of the theory of pseudoreductive groups and gives their classification in a usable form
4 editions published between 2010 and 2015 in English and held by 65 WorldCat member libraries worldwide
This monograph provides a comprehensive treatment of the theory of pseudoreductive groups and gives their classification in a usable form
Faisceaux pervers by
Alexander Beilinson(
Book
)
3 editions published in 2018 in French and held by 8 WorldCat member libraries worldwide
3 editions published in 2018 in French and held by 8 WorldCat member libraries worldwide
Affine analog of the proper base change theorem by
Ofer Gabber(
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
Gersten's conjecture for some complexes of vanishing cycles by
Ofer Gabber(
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
Some theorems on Azumaya algebras by
Ofer Gabber(
Book
)
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
Faisceaux pervers ladiques sur un tore (nouvelle version) by
Ofer Gabber(
Book
)
1 edition published in 1995 in French and held by 1 WorldCat member library worldwide
1 edition published in 1995 in French and held by 1 WorldCat member library worldwide
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Conrad, Brian 1970 Author
 Prasad, Gopal
 Ramero, Lorenzo 1966 Editor
 Beilinson, Alexander 1957 Author
 Deligne, Pierre 1944
 Bernstein, Joseph 1945
 SpringerLink (Online service) Other
 Cambridge University Press Publisher
 Loeser, François (1958....). Collector
Useful Links
Covers
Alternative Names
Ofer Gabber Israeli mathematician
Ofer Gabber israelischer Mathematiker
Ofer Gabber matamaiticeoir Iosraelach
Ofer Gabber matemàtic israelià
Ofer Gabber matemático israelí
Ofer Gabber matemático israelita
Ofer Gabber matemáticu israelín
Ofer Gabber matematikan izraelit
Ofer Gabber mathématicien israélien
Ofer Gabber wiskundige uit Israël
Languages