skip to content
Compactification of Siegel moduli schemes Preview this item
ClosePreview this item
Checking...

Compactification of Siegel moduli schemes

Author: Ching-Li Chai
Publisher: Cambridge ; New York : Cambridge University Press, 1985.
Series: London Mathematical Society lecture note series, 107.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
The Siegel moduli scheme classifies principally polarised abelian varieties and its compactification is an important result in arithmetic algebraic geometry. The main result of this monograph is to prove the existence of the toroidal compactification over Z (1/2). This result should have further applications and is presented here with sufficient background material to make the book suitable for seminar courses in  Read more...
Rating:

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

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

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

Details

Genre/Form: Toroidale Kompaktifizierung
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Ching-Li Chai
ISBN: 0521312531 9780521312530
OCLC Number: 12103868
Notes: Originally presented as the author's thesis (Harvard University, 1984).
Description: xvi, 326 pages ; 23 cm.
Contents: Introduction --
1. Review of the Siegel moduli schemes --
2. Analytic quotient construction of families of degenerating abelian varieties --
3. Test families as co-ordinates at the boundary --
4. Propagation of Tai's theorem to positive characteristics --
5. Application to Siegel modular forms --
Appendixes.
Series Title: London Mathematical Society lecture note series, 107.
Responsibility: Ching-Li Chai.
More information:

Abstract:

The Siegel moduli scheme classifies principally polarised abelian varieties and its compactification is an important result in arithmetic algebraic geometry. The main result of this monograph is to prove the existence of the toroidal compactification over Z (1/2). This result should have further applications and is presented here with sufficient background material to make the book suitable for seminar courses in algebraic geometry, algebraic number theory or automorphic forms.

Reviews

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/12103868> # Compactification of Siegel moduli schemes
    a schema:Book, schema:CreativeWork ;
   library:oclcnum "12103868" ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/3757149801#Place/cambridge> ; # Cambridge
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/enk> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/3757149801#Topic/siegel_raum> ; # Siegel-Raum
   schema:about <http://experiment.worldcat.org/entity/work/data/3757149801#Topic/fonctions_theta> ; # Fonctions thêta
   schema:about <http://experiment.worldcat.org/entity/work/data/3757149801#Topic/thetafunktion> ; # Thetafunktion
   schema:about <http://experiment.worldcat.org/entity/work/data/3757149801#Topic/moduli_spaces> ; # Moduli spaces
   schema:about <http://experiment.worldcat.org/entity/work/data/3757149801#Topic/modules_theorie_des> ; # Modules, Théorie des
   schema:about <http://id.worldcat.org/fast/1024524> ; # Moduli theory
   schema:about <http://experiment.worldcat.org/entity/work/data/3757149801#Topic/modulform> ; # Modulform
   schema:about <http://experiment.worldcat.org/entity/work/data/3757149801#Topic/geometria_algebrica> ; # Geometria algébrica
   schema:about <http://dewey.info/class/515.7/e19/> ;
   schema:about <http://id.worldcat.org/fast/936135> ; # Functions, Theta
   schema:about <http://experiment.worldcat.org/entity/work/data/3757149801#Topic/formes_modulaires> ; # Formes modulaires
   schema:about <http://experiment.worldcat.org/entity/work/data/3757149801#Topic/siegel_modulfunktion> ; # Siegel-Modulfunktion
   schema:about <http://experiment.worldcat.org/entity/work/data/3757149801#Thing/algebra> ; # Algebra
   schema:about <http://experiment.worldcat.org/entity/work/data/3757149801#Topic/kompaktifizierung> ; # Kompaktifizierung
   schema:about <http://experiment.worldcat.org/entity/work/data/3757149801#Topic/modultheorie> ; # Modultheorie
   schema:about <http://id.worldcat.org/fast/932983> ; # Forms, Modular
   schema:about <http://experiment.worldcat.org/entity/work/data/3757149801#Topic/variedades_abelianas> ; # Variedades abelianas
   schema:bookFormat bgn:PrintBook ;
   schema:creator <http://viaf.org/viaf/93497921> ; # Ching-Li Chai
   schema:datePublished "1985" ;
   schema:description "The Siegel moduli scheme classifies principally polarised abelian varieties and its compactification is an important result in arithmetic algebraic geometry. The main result of this monograph is to prove the existence of the toroidal compactification over Z (1/2). This result should have further applications and is presented here with sufficient background material to make the book suitable for seminar courses in algebraic geometry, algebraic number theory or automorphic forms."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/3757149801> ;
   schema:genre "Toroidale Kompaktifizierung"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/3757149801#Series/london_mathematical_society_lecture_note_series> ; # London Mathematical Society lecture note series ;
   schema:name "Compactification of Siegel moduli schemes"@en ;
   schema:productID "12103868" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/12103868#PublicationEvent/cambridge_new_york_cambridge_university_press_1985> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/3757149801#Agent/cambridge_university_press> ; # Cambridge University Press
   schema:url <http://www.gbv.de/dms/bowker/toc/9780521312530.pdf> ;
   schema:url <http://catdir.loc.gov/catdir/toc/cam027/85011398.html> ;
   schema:workExample <http://worldcat.org/isbn/9780521312530> ;
   umbel:isLike <http://bnb.data.bl.uk/id/resource/GB8526928> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/12103868> ;
    .


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/3757149801#Agent/cambridge_university_press> # Cambridge University Press
    a bgn:Agent ;
   schema:name "Cambridge University Press" ;
    .

<http://experiment.worldcat.org/entity/work/data/3757149801#Series/london_mathematical_society_lecture_note_series> # London Mathematical Society lecture note series ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/12103868> ; # Compactification of Siegel moduli schemes
   schema:name "London Mathematical Society lecture note series ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/3757149801#Topic/fonctions_theta> # Fonctions thêta
    a schema:Intangible ;
   schema:name "Fonctions thêta"@en ;
   schema:name "Fonctions thêta"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/3757149801#Topic/formes_modulaires> # Formes modulaires
    a schema:Intangible ;
   schema:name "Formes modulaires"@en ;
   schema:name "Formes modulaires"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/3757149801#Topic/geometria_algebrica> # Geometria algébrica
    a schema:Intangible ;
   schema:name "Geometria algébrica"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/3757149801#Topic/modules_theorie_des> # Modules, Théorie des
    a schema:Intangible ;
   schema:name "Modules, Théorie des"@en ;
   schema:name "Modules, Théorie des"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/3757149801#Topic/siegel_modulfunktion> # Siegel-Modulfunktion
    a schema:Intangible ;
   schema:name "Siegel-Modulfunktion"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/3757149801#Topic/variedades_abelianas> # Variedades abelianas
    a schema:Intangible ;
   schema:name "Variedades abelianas"@en ;
    .

<http://id.worldcat.org/fast/1024524> # Moduli theory
    a schema:Intangible ;
   schema:name "Moduli theory"@en ;
    .

<http://id.worldcat.org/fast/932983> # Forms, Modular
    a schema:Intangible ;
   schema:name "Forms, Modular"@en ;
    .

<http://id.worldcat.org/fast/936135> # Functions, Theta
    a schema:Intangible ;
   schema:name "Functions, Theta"@en ;
    .

<http://viaf.org/viaf/93497921> # Ching-Li Chai
    a schema:Person ;
   schema:familyName "Chai" ;
   schema:givenName "Ching-Li" ;
   schema:name "Ching-Li Chai" ;
    .

<http://worldcat.org/isbn/9780521312530>
    a schema:ProductModel ;
   schema:isbn "0521312531" ;
   schema:isbn "9780521312530" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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