Moscow Mathematical Journal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mosc. Math. J.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Moscow Mathematical Journal, 2008, Volume 8, Number 4, Pages 711–757
DOI: https://doi.org/10.17323/1609-4514-2008-8-4-711-757
(Mi mmj327)
 

This article is cited in 47 scientific papers (total in 47 papers)

Cox Rings and Combinatorics II

J. Hausen

Mathematisches Institut, Universität Tübingen
Full-text PDF Citations (47)
References:
Abstract: We study varieties with a finitely generated Cox ring. In the first part, we generalize a combinatorial approach developed in earlier work for varieties with a torsion free divisor class group to the case of torsion. Then we turn to modifications, e.g., blow-ups, and the question how the Cox ring changes under such maps. We answer this question for a certain class of modifications induced from modifications of ambient toric varieties. Moreover, we show that every variety with finitely generated Cox ring can be explicitly constructed in a finite series of toric ambient modifications from a combinatorially minimal one.
Key words and phrases: Cox ring, total coordinate ring, divisors, modifications.
Received: January 26, 2008
Bibliographic databases:
Language: English
Citation: J. Hausen, “Cox Rings and Combinatorics II”, Mosc. Math. J., 8:4 (2008), 711–757
Citation in format AMSBIB
\Bibitem{Hau08}
\by J.~Hausen
\paper Cox Rings and Combinatorics~II
\jour Mosc. Math.~J.
\yr 2008
\vol 8
\issue 4
\pages 711--757
\mathnet{http://mi.mathnet.ru/mmj327}
\crossref{https://doi.org/10.17323/1609-4514-2008-8-4-711-757}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2499353}
\zmath{https://zbmath.org/?q=an:1158.14010}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000261829900006}
Linking options:
  • https://www.mathnet.ru/eng/mmj327
  • https://www.mathnet.ru/eng/mmj/v8/i4/p711
  • This publication is cited in the following 47 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Moscow Mathematical Journal
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024