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
Mordell–Weil Lattices
.
Bookmark this Record
Catalogue Record 49929
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 49929
.
Reviews
Catalogue Record 49929
.
British Library
Resolver for RSN-49929
Google Scholar
Resolver for RSN-49929
WorldCat
Resolver for RSN-49929
Catalogo Nazionale SBN
Resolver for RSN-49929
GoogleBooks
Resolver for RSN-49929
ICTP Library
Resolver for RSN-49929
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
516.35
Title
Mordell–Weil Lattices ([EBook]) / by Matthias Schütt, Tetsuji Shioda.
Author
Schütt, Matthias
Added Personal Name
Shioda, Tetsuji
Other name(s)
SpringerLink (Online service)
Publication
Singapore : Springer Singapore , 2019.
Physical Details
XVI, 431 pages, 32 illus., 9 illus. in color. : online resource.
Series
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
; 70
ISBN
9789813293014
Summary Note
This book lays out the theory of Mordell–Weil lattices, a very powerful and influential tool at the crossroads of algebraic geometry and number theory, which offers many fruitful connections to other areas of mathematics. The book presents all the ingredients entering into the theory of Mordell–Weil lattices in detail, notably, relevant portions of lattice theory, elliptic curves, and algebraic surfaces. After defining Mordell–Weil lattices, the authors provide several applications in depth. They start with the classification of rational elliptic surfaces. Then a useful connection with Galois representations is discussed. By developing the notion of excellent families, the authors are able to design many Galois representations with given Galois groups such as the Weyl groups of E6, E7 and E8. They also explain a connection to the classical topic of the 27 lines on a cubic surface. Two chapters deal with elliptic K3 surfaces, a pulsating area of recent research activity which highlights many central properties of Mordell–Weil lattices. Finally, the book turns to the rank problem—one of the key motivations for the introduction of Mordell–Weil lattices. The authors present the state of the art of the rank problem for elliptic curves both over Q and over C(t) and work out applications to the sphere packing problem. Throughout, the book includes many instructive examples illustrating the theory.:
Contents note
Introduction -- Lattices -- Elliptic Curves -- Algebraic surfaces -- Elliptic surfaces -- Mordell--Weil Lattices -- Rational Elliptic Surfaces -- Rational elliptic surfaces and E8-hierarchy -- Galois Representations and Algebraic Equations -- Elliptic K3 surfaces.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://link.springer.com/book/10.1007/978-981-32-9301-4
Links to Related Works
Subject References:
Algebraic Geometry
.
Category theory (Mathematics)
.
Commutative algebra
.
Commutative rings
.
Field Theory and Polynomials
.
Field theory (Physics)
.
Homological algebra
.
Mordell-Weil theorem
.
Nonassociative rings
.
Rings (Algebra)
.
Authors:
author
.
Schütt, Matthias
.
Shioda, Tetsuji
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
.
Classification:
516.35
.
.
ISBD Display
Catalogue Record 49929
.
Tag Display
Catalogue Record 49929
.
Related Works
Catalogue Record 49929
.
Marc XML
Catalogue Record 49929
.
Add Title to Basket
Catalogue Record 49929
.
Catalogue Information 49929
Beginning of record
.
Catalogue Information 49929
Top of page
.
Download Title
Catalogue Record 49929
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
49929
1
49929
-
2
49929
-
3
49929
-
4
49929
-
5
49929
-
Quick Search
Search for