語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Central simple algebras and Galois cohomology /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Central simple algebras and Galois cohomology // Philippe Gille, Tamás Szamuely.
其他題名:
Central Simple Algebras & Galois Cohomology
作者:
Gille, Philippe,
其他作者:
Szamuely, Tamás,
面頁冊數:
1 online resource (ix, 343 pages) :digital, PDF file(s). :
附註:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:
Galois cohomology. -
電子資源:
https://doi.org/10.1017/CBO9780511607219
ISBN:
9780511607219 (ebook)
Central simple algebras and Galois cohomology /
Gille, Philippe,1968-
Central simple algebras and Galois cohomology /
Central Simple Algebras & Galois CohomologyPhilippe Gille, Tamás Szamuely. - 1 online resource (ix, 343 pages) :digital, PDF file(s). - Cambridge studies in advanced mathematics ;101. - Cambridge studies in advanced mathematics ;134..
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Quaternion algebras -- Central simple algebras and Galois descent -- Techniques from group cohomology -- The cohomological Brauer group -- Severi-Brauer varieties -- Residue maps -- Milnor K-theory -- The Merkurjev-Suslin theorem -- Symbols in positive characteristic -- A breviary of algebraic geometry.
This book is the first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Starting from the basics, it reaches such advanced results as the Merkurjev-Suslin theorem. This theorem is both the culmination of work initiated by Brauer, Noether, Hasse and Albert and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid background in algebra, but no homological algebra, the book covers the basic theory of central simple algebras, methods of Galois descent and Galois cohomology, Severi-Brauer varieties, residue maps and, finally, Milnor K-theory and K-cohomology. The last chapter rounds off the theory by presenting the results in positive characteristic, including the theorem of Bloch-Gabber-Kato. The book is suitable as a textbook for graduate students and as a reference for researchers working in algebra, algebraic geometry or K-theory.
ISBN: 9780511607219 (ebook)Subjects--Topical Terms:
1444742
Galois cohomology.
LC Class. No.: QA612.3 / .G55 2006
Dewey Class. No.: 514.23
Central simple algebras and Galois cohomology /
LDR
:02379nam a2200313 i 4500
001
1126113
003
UkCbUP
005
20151005020621.0
006
m|||||o||d||||||||
007
cr||||||||||||
008
240926s2006||||enk o ||1 0|eng|d
020
$a
9780511607219 (ebook)
020
$z
9780521861038 (hardback)
035
$a
CR9780511607219
040
$a
UkCbUP
$b
eng
$e
rda
$c
UkCbUP
050
0 0
$a
QA612.3
$b
.G55 2006
082
0 4
$a
514.23
$2
22
100
1
$a
Gille, Philippe,
$d
1968-
$e
author.
$3
1444740
245
1 0
$a
Central simple algebras and Galois cohomology /
$c
Philippe Gille, Tamás Szamuely.
246
3
$a
Central Simple Algebras & Galois Cohomology
264
1
$a
Cambridge :
$b
Cambridge University Press,
$c
2006.
300
$a
1 online resource (ix, 343 pages) :
$b
digital, PDF file(s).
336
$a
text
$b
txt
$2
rdacontent
337
$a
computer
$b
c
$2
rdamedia
338
$a
online resource
$b
cr
$2
rdacarrier
490
1
$a
Cambridge studies in advanced mathematics ;
$v
101
500
$a
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505
0
$a
Quaternion algebras -- Central simple algebras and Galois descent -- Techniques from group cohomology -- The cohomological Brauer group -- Severi-Brauer varieties -- Residue maps -- Milnor K-theory -- The Merkurjev-Suslin theorem -- Symbols in positive characteristic -- A breviary of algebraic geometry.
520
$a
This book is the first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Starting from the basics, it reaches such advanced results as the Merkurjev-Suslin theorem. This theorem is both the culmination of work initiated by Brauer, Noether, Hasse and Albert and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid background in algebra, but no homological algebra, the book covers the basic theory of central simple algebras, methods of Galois descent and Galois cohomology, Severi-Brauer varieties, residue maps and, finally, Milnor K-theory and K-cohomology. The last chapter rounds off the theory by presenting the results in positive characteristic, including the theorem of Bloch-Gabber-Kato. The book is suitable as a textbook for graduate students and as a reference for researchers working in algebra, algebraic geometry or K-theory.
650
0
$a
Galois cohomology.
$3
1444742
650
0
$a
Algebra.
$2
gtt
$3
579870
700
1
$a
Szamuely, Tamás,
$e
author.
$3
1444741
776
0 8
$i
Print version:
$z
9780521861038
830
0
$a
Cambridge studies in advanced mathematics ;
$v
134.
$3
1133579
856
4 0
$u
https://doi.org/10.1017/CBO9780511607219
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入