skip to content
Foundations of Grothendieck duality for diagrams of schemes Preview this item
ClosePreview this item
Checking...

Foundations of Grothendieck duality for diagrams of schemes

Author: Joseph Lipman; Mitsuyasu Hashimoto
Publisher: Berlin : Springer, ©2009.
Series: Lecture notes in mathematics (Springer-Verlag), 1960.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The first part written by Joseph Lipman, accessible to mid-level graduate students, is a full exposition of the abstract foundations of Grothendieck duality theory for schemes (twisted inverse image, tor-independent base change ...), in part without noetherian hypotheses, and with some refinements for maps of finite tor-dimension. The ground is prepared by a lengthy treatment of the rich formalism of relations among  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Lipman, Joseph.
Foundations of Grothendieck duality for diagrams of schemes.
Berlin : Springer, ©2009
(DLC) 2008935627
(OCoLC)244765604
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Joseph Lipman; Mitsuyasu Hashimoto
ISBN: 9783540854203 3540854207 9783540854197 3540854193
OCLC Number: 341597780
Language Note: English.
Description: 1 online resource (x, 478 pages) : illustrations.
Contents: pt. 1. Notes on derived functors and Grothendieck duality / Joseph Lipman --
pt. 2. Equivariant twisted inverses / Mitsuyasu Hashimoto.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1960.
Responsibility: Joseph Lipman, Mitsuyasu Hashimoto.
More information:

Abstract:

Part One of this book covers the abstract foundations of Grothendieck duality theory for schemes in part with noetherian hypotheses and with some refinements for maps of finite tor-dimension. Part  Read more...

Reviews

Editorial reviews

Publisher Synopsis

From the reviews:"The appearance of a well-planned, detailed and up-to-date exposition of a topic in abstract algebraic geometry is good news, and the book by J. Lipman and M. Hashimoto definitely Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/341597780> # Foundations of Grothendieck duality for diagrams of schemes
    a schema:CreativeWork, schema:MediaObject, schema:Book ;
   library:oclcnum "341597780" ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/142563749#Place/berlin> ; # Berlin
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/142563749#Topic/geometry> ; # Geometry
   schema:about <http://dewey.info/class/516.35/e22/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/142563749#Topic/mathematics> ; # Mathematics
   schema:about <http://id.worldcat.org/fast/849000> ; # Categories (Mathematics)
   schema:about <http://id.worldcat.org/fast/936137> ; # Functor theory
   schema:about <http://id.worldcat.org/fast/1106668> ; # Schemes (Algebraic geometry)
   schema:about <http://id.worldcat.org/fast/899254> ; # Duality theory (Mathematics)
   schema:about <http://experiment.worldcat.org/entity/work/data/142563749#Topic/physical_sciences_&_mathematics> ; # Physical Sciences & Mathematics
   schema:about <http://id.worldcat.org/fast/1115421> ; # Sheaf theory
   schema:bookFormat schema:EBook ;
   schema:contributor <http://viaf.org/viaf/22364234> ; # Mitsuyasu Hashimoto
   schema:copyrightYear "2009" ;
   schema:creator <http://viaf.org/viaf/9927071> ; # Joseph Lipman
   schema:datePublished "2009" ;
   schema:description "pt. 1. Notes on derived functors and Grothendieck duality / Joseph Lipman -- pt. 2. Equivariant twisted inverses / Mitsuyasu Hashimoto."@en ;
   schema:description "The first part written by Joseph Lipman, accessible to mid-level graduate students, is a full exposition of the abstract foundations of Grothendieck duality theory for schemes (twisted inverse image, tor-independent base change ...), in part without noetherian hypotheses, and with some refinements for maps of finite tor-dimension. The ground is prepared by a lengthy treatment of the rich formalism of relations among the derived functors, for unbounded complexes over ringed spaces, of the sheaf functors tensor, hom, direct and inverse image. Included are enhancements, for quasi-compact quasi-separated schemes, of classical results such as the projection and Künneth isomorphisms. In the second part, written independently by Mitsuyasu Hashimoto, the theory is extended to the context of diagrams of schemes. This includes, as a special case, an equivariant theory for schemes with group actions. In particular, after various basic operations on sheaves such as (derived) direct images and inverse images are set up, Grothendieck duality and flat base change for diagrams of schemes are proved. Also, dualizing complexes are studied in this context. As an application to group actions, we generalize Watanabe's theorem on the Gorenstein property of invariant subrings."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/142563749> ;
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/142563749#Series/lecture_notes_in_mathematics_springer_verlag> ; # Lecture notes in mathematics (Springer-Verlag) ;
   schema:isPartOf <http://worldcat.org/issn/0075-8434> ; # Lecture notes in mathematics,
   schema:isSimilarTo <http://www.worldcat.org/oclc/244765604> ;
   schema:name "Foundations of Grothendieck duality for diagrams of schemes"@en ;
   schema:productID "341597780" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/341597780#PublicationEvent/berlin_springer_2009> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/142563749#Agent/springer> ; # Springer
   schema:url <http://site.ebrary.com/id/10284553> ;
   schema:url <https://link.springer.com/openurl?genre=book&isbn=978-3-540-85419-7> ;
   schema:url <http://rd.springer.com/openurl?genre=book&isbn=978-3-540-85419-7> ;
   schema:url <http://library.ust.hk/cgi/db/springerbook.pl?978-3-540-85419-7> ;
   schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=3064003> ;
   schema:url <http://springerlink.com/openurl.asp?genre=book&isbn=978-3-540-85419-7> ;
   schema:url <http://link.springer.com/10.1007/978-3-540-85420-3> ;
   schema:url <http://www.myilibrary.com?id=203821> ;
   schema:url <http://link.springer.com/openurl?genre=book&isbn=978-3-540-85419-7> ;
   schema:url <http://catdir.loc.gov/catdir/enhancements/fy0913/2008935627-t.html> ;
   schema:url <http://dx.doi.org/10.1007/978-3-540-85420-3> ;
   schema:workExample <http://worldcat.org/isbn/9783540854203> ;
   schema:workExample <http://worldcat.org/isbn/9783540854197> ;
   schema:workExample <http://dx.doi.org/10.1007/978-3-540-85420-3> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/341597780> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/142563749#Series/lecture_notes_in_mathematics_springer_verlag> # Lecture notes in mathematics (Springer-Verlag) ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/341597780> ; # Foundations of Grothendieck duality for diagrams of schemes
   schema:name "Lecture notes in mathematics (Springer-Verlag) ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/142563749#Topic/physical_sciences_&_mathematics> # Physical Sciences & Mathematics
    a schema:Intangible ;
   schema:name "Physical Sciences & Mathematics"@en ;
    .

<http://id.worldcat.org/fast/1106668> # Schemes (Algebraic geometry)
    a schema:Intangible ;
   schema:name "Schemes (Algebraic geometry)"@en ;
    .

<http://id.worldcat.org/fast/1115421> # Sheaf theory
    a schema:Intangible ;
   schema:name "Sheaf theory"@en ;
    .

<http://id.worldcat.org/fast/849000> # Categories (Mathematics)
    a schema:Intangible ;
   schema:name "Categories (Mathematics)"@en ;
    .

<http://id.worldcat.org/fast/899254> # Duality theory (Mathematics)
    a schema:Intangible ;
   schema:name "Duality theory (Mathematics)"@en ;
    .

<http://id.worldcat.org/fast/936137> # Functor theory
    a schema:Intangible ;
   schema:name "Functor theory"@en ;
    .

<http://viaf.org/viaf/22364234> # Mitsuyasu Hashimoto
    a schema:Person ;
   schema:birthDate "1962" ;
   schema:familyName "Hashimoto" ;
   schema:givenName "Mitsuyasu" ;
   schema:name "Mitsuyasu Hashimoto" ;
    .

<http://viaf.org/viaf/9927071> # Joseph Lipman
    a schema:Person ;
   schema:familyName "Lipman" ;
   schema:givenName "Joseph" ;
   schema:name "Joseph Lipman" ;
    .

<http://worldcat.org/isbn/9783540854197>
    a schema:ProductModel ;
   schema:isbn "3540854193" ;
   schema:isbn "9783540854197" ;
    .

<http://worldcat.org/isbn/9783540854203>
    a schema:ProductModel ;
   schema:isbn "3540854207" ;
   schema:isbn "9783540854203" ;
    .

<http://worldcat.org/issn/0075-8434> # Lecture notes in mathematics,
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/341597780> ; # Foundations of Grothendieck duality for diagrams of schemes
   schema:issn "0075-8434" ;
   schema:name "Lecture notes in mathematics," ;
    .

<http://www.worldcat.org/oclc/244765604>
    a schema:CreativeWork ;
   rdfs:label "Foundations of Grothendieck duality for diagrams of schemes." ;
   schema:description "Print version:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/341597780> ; # Foundations of Grothendieck duality for diagrams of schemes
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.