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
Fourier-Mukai transforms in algebraic geometry
.
Bookmark this Record
Catalogue Record 49497
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Browse Shelf
Catalogue Record 49497
.
Item Information
Catalogue Record 49497
.
Catalogue Information
Catalogue Record 49497
.
Reviews
Catalogue Record 49497
.
British Library
Resolver for RSN-49497
Catalogo Nazionale SBN
Resolver for RSN-49497
WorldCat
Resolver for RSN-49497
Google Scholar
Resolver for RSN-49497
GoogleBooks
Resolver for RSN-49497
ICTP Library
Resolver for RSN-49497
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
516.35 (DDC 22)
Title
Fourier-Mukai transforms in algebraic geometry (M) / D. Huybrechts.
Author
Huybrechts, Daniel
Publication
Oxford : Oxford University Press , 2007
Physical Details
viii, 307 pages : ill. ; 24 cm
Series
Oxford mathematical monographs
ISBN
9780199296866
Note
Preface ; 1. Triangulated categories ; 2. Derived categories: a quick tour ; 3. Derived categories of coherent sheaves ; 4. Derived category and canonical bundle I ; 5. Fourier-Mukai transforms ; 6. Derived category and canonical bundle II ; 7. Equivalence criteria for Fourier-Mukai transforms ; 8. Spherical and exceptional objects ; 9. Abelian varieties ; 10. K3 surfaces ; 11. Flips and flops ; 12. Derived categories of surfaces ; 13. Where to go from here ; References ; Index
Summary Note
This book provides a systematic exposition of the theory of Fourier-Mukai transforms from an algebro-geometric point of view. Assuming a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. The derived category is a subtle invariant of the isomorphism type of a variety, and its group of autoequivalences often shows a rich structure. As it turns out — and this feature is pursued throughout the book — the behaviour of the derived category is determined by the geometric properties of the canonical bundle of the variety. Including notions from other areas, e.g., singular cohomology, Hodge theory, abelian varieties, K3 surfaces; full proofs and exercises are provided. The final chapter summarizes recent research directions, such as connections to orbifolds and the representation theory of finite groups via the McKay correspondence, stability conditions on triangulated categories, and the notion of the derived category of sheaves twisted by a gerbe. -- This seminal text on Fourier-Mukai Transforms in Algebraic Geometry by a leading researcher and expositor is based on a course given at the Institut de Mathematiques de Jussieu in 2004 and 2005. Aimed at postgraduate students with a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. Including notions from other areas, e.g. singular cohomology, Hodge theory, abelian varieties, K3 surfaces; full proofs are given and exercises aid the reader throughout.:
Links to Related Works
Subject References:
Fourier transformations
.
Geometry, Algebraic
.
Transformations (Mathematics)
.
Authors:
Huybrechts, Daniel
.
Series:
Oxford mathematical monographs
.
Classification:
516.35 (DDC 22)
.
.
ISBD Display
Catalogue Record 49497
.
Tag Display
Catalogue Record 49497
.
Related Works
Catalogue Record 49497
.
Marc XML
Catalogue Record 49497
.
Add Title to Basket
Catalogue Record 49497
.
Catalogue Information 49497
Beginning of record
.
Catalogue Information 49497
Top of page
.
Item Information
Barcode
Shelf Location
Collection
Volume Ref.
Branch
Status
Due Date
0000000044311
512.7 HUY
General
SISSA
.
.
Available
.
Download Title
Catalogue Record 49497
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
.
Catalogue Record 49497 ItemInfo
Beginning of record
.
Catalogue Record 49497 ItemInfo
Top of page
.
Most Popular Titles
#
Author
Title
1
.
Jost, Jürgen 1956-
1
.
Nonpositive curvature: geometric and analytic aspects
1
2
.
Jost, Jürgen 1956-
2
.
Calculus of variations
2
3
.
Jost, Jürgen 1956-
3
.
Harmonic maps between surfaces: with a special chapter on conformal mappings
3
4
.
Geometric analysis and the calculus of variations for Stefan Hildebrandt
4
5
.
Jost, Jürgen 1956-
5
.
Compact Riemann surfaces: an introduction to contemporary mathematics
5
.
Reviews
This item has not been rated.
Add a Review and/or Rating
49497
1
49497
-
2
49497
-
3
49497
-
4
49497
-
5
49497
-
Quick Search
Search for