Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
Commutative group schemes
.
Bookmark this Record
Catalogue Record 48263
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 48263
.
Reviews
Catalogue Record 48263
.
British Library
Resolver for RSN-48263
Google Scholar
Resolver for RSN-48263
WorldCat
Resolver for RSN-48263
Catalogo Nazionale SBN
Resolver for RSN-48263
GoogleBooks
Resolver for RSN-48263
ICTP Library
Resolver for RSN-48263
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
512
Title
Commutative group schemes ([EBook]) / by F. Oort.
Author
Oort, Frans. , 1935-
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 1966.
Physical Details
VIII, 136 pages : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 15
ISBN
9783540371717
Summary Note
We restrict ourselves to two aspects of the field of group schemes, in which the results are fairly complete: commutative algebraic group schemes over an algebraically closed field (of characteristic different from zero), and a duality theory concern ing abelian schemes over a locally noetherian prescheme. The prelim inaries for these considerations are brought together in chapter I. SERRE described properties of the category of commutative quasi-algebraic groups by introducing pro-algebraic groups. In char8teristic zero the situation is clear. In characteristic different from zero information on finite group schemee is needed in order to handle group schemes; this information can be found in work of GABRIEL. In the second chapter these ideas of SERRE and GABRIEL are put together. Also extension groups of elementary group schemes are determined. A suggestion in a paper by MANIN gave crystallization to a fee11ng of symmetry concerning subgroups of abelian varieties. In the third chapter we prove that the dual of an abelian scheme and the linear dual of a finite subgroup scheme are related in a very natural way. Afterwards we became aware that a special case of this theorem was already known by CARTIER and BARSOTTI. Applications of this duality theorem are: the classical duality theorem ("duality hy pothesis", proved by CARTIER and by NISHI); calculation of Ext(~a,A), where A is an abelian variety (result conjectured by SERRE); a proof of the symmetry condition (due to MANIN) concerning the isogeny type of a formal group attached to an abelian variety.:
Contents note
Preliminaries -- Algebraic group schemes -- Duality theorems for abelian schemes.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/BFb0097479
Links to Related Works
Subject References:
Abelian groups
.
Algebra
.
Group schemes (Mathematics)
.
Authors:
Oort, Frans. 1935-
.
Oort, Frans, 1935-
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Lecture Notes in Mathematics
.
Classification:
512
.
.
ISBD Display
Catalogue Record 48263
.
Tag Display
Catalogue Record 48263
.
Related Works
Catalogue Record 48263
.
Marc XML
Catalogue Record 48263
.
Add Title to Basket
Catalogue Record 48263
.
Catalogue Information 48263
Beginning of record
.
Catalogue Information 48263
Top of page
.
Download Title
Catalogue Record 48263
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
48263
1
48263
-
2
48263
-
3
48263
-
4
48263
-
5
48263
-
Quick Search
Search for