skip to content
Deformation theory Preview this item
ClosePreview this item
Checking...

Deformation theory

Author: Robin Hartshorne
Publisher: New York : Springer, ©2010.
Series: Graduate texts in mathematics, 257.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"The basic problem of deformation theory in algebraic geometry involves watching a small deformation of one member of a family of objects, such as varieties, or subschemes in a fixed space, or vector bundles on a fixed scheme. In this new book, Robin Hartshorne studies first what happens over small infinitesimal deformations, and then gradually builds up to more global situations, using methods pioneered by Kodaira  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

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Robin Hartshorne
ISBN: 9781441915955 1441915958
OCLC Number: 435733094
Description: vi, 234 pages : illustrations ; 25 cm.
Contents: First-Order Deformations.- Higher-Order Deformations.- Formal Moduli.- Global Questions.
Series Title: Graduate texts in mathematics, 257.
Responsibility: Robin Hartshorne.

Abstract:

This first textbook on deformation theory begins by studying what happens over small infinitesimal deformations, and then gradually builds up to more global situations. The author provides plenty of  Read more...

Reviews

Editorial reviews

Publisher Synopsis

From the reviews: "Robin Hartshorne is the author of a well-known textbook from which several generations of mathematicians have learned modern algebraic geometry since it first appeared in 1977. 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/435733094> # Deformation theory
    a schema:Book, schema:CreativeWork ;
   library:oclcnum "435733094" ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
   schema:about <http://dewey.info/class/516.35/e22/> ;
   schema:about <http://id.worldcat.org/fast/889789> ; # Deformations of singularities
   schema:about <http://experiment.worldcat.org/entity/work/data/321976725#Topic/algebraische_geometrie> ; # Algebraische Geometrie
   schema:about <http://experiment.worldcat.org/entity/work/data/321976725#Topic/deformation_mathematik> ; # Deformation (Mathematik)
   schema:about <http://id.worldcat.org/fast/940902> ; # Geometry, Algebraic
   schema:bookFormat bgn:PrintBook ;
   schema:copyrightYear "2010" ;
   schema:creator <http://viaf.org/viaf/108175860> ; # Robin Hartshorne
   schema:datePublished "2009" ;
   schema:description ""The basic problem of deformation theory in algebraic geometry involves watching a small deformation of one member of a family of objects, such as varieties, or subschemes in a fixed space, or vector bundles on a fixed scheme. In this new book, Robin Hartshorne studies first what happens over small infinitesimal deformations, and then gradually builds up to more global situations, using methods pioneered by Kodaira and Spencer in the complex analytic case, and adapted and expanded in algebraic geometry by Grothendieck. Topics include: deformations over the dual numbers; smoothness and the infinitesimal lifting property; Zariski tangent space and obstructions to deformation problems; pro-representable functors of Schlessinger; infinitesimal study of moduli spaces such as the Hilbert scheme, Picard scheme, moduli of curves, and moduli of stable vector bundles. The author includes numerous exercises, as well as important examples illustrating various aspects of the theory. This text is based on a graduate course taught by the author at the University of California, Berkeley."--Publisher's website."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/321976725> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/321976725#Series/graduate_texts_in_mathematics> ; # Graduate texts in mathematics ;
   schema:isPartOf <http://worldcat.org/issn/0072-5285> ; # Graduate texts in mathematics,
   schema:name "Deformation theory"@en ;
   schema:productID "435733094" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/435733094#PublicationEvent/new_york_springer_2010> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/321976725#Agent/springer> ; # Springer
   schema:url <http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018862376&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA> ;
   schema:url <http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=018862376&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA> ;
   schema:workExample <http://worldcat.org/isbn/9781441915955> ;
   umbel:isLike <http://d-nb.info/996515798> ;
   umbel:isLike <http://bnb.data.bl.uk/id/resource/GBA987042> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/435733094> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/321976725#Series/graduate_texts_in_mathematics> # Graduate texts in mathematics ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/435733094> ; # Deformation theory
   schema:name "Graduate texts in mathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/321976725#Topic/algebraische_geometrie> # Algebraische Geometrie
    a schema:Intangible ;
   schema:name "Algebraische Geometrie"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/321976725#Topic/deformation_mathematik> # Deformation (Mathematik)
    a schema:Intangible ;
   schema:name "Deformation (Mathematik)"@en ;
    .

<http://id.worldcat.org/fast/889789> # Deformations of singularities
    a schema:Intangible ;
   schema:name "Deformations of singularities"@en ;
    .

<http://id.worldcat.org/fast/940902> # Geometry, Algebraic
    a schema:Intangible ;
   schema:name "Geometry, Algebraic"@en ;
    .

<http://viaf.org/viaf/108175860> # Robin Hartshorne
    a schema:Person ;
   schema:familyName "Hartshorne" ;
   schema:givenName "Robin" ;
   schema:name "Robin Hartshorne" ;
    .

<http://worldcat.org/isbn/9781441915955>
    a schema:ProductModel ;
   schema:isbn "1441915958" ;
   schema:isbn "9781441915955" ;
    .

<http://worldcat.org/issn/0072-5285> # Graduate texts in mathematics,
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/435733094> ; # Deformation theory
   schema:issn "0072-5285" ;
   schema:name "Graduate texts in mathematics," ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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