RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find






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


Mat. Zametki, 2011, Volume 90, Issue 2, Pages 269–279 (Mi mz8776)  

GIT-Equivalence and Diagonal Actions

P. Yu. Kotenkova

M. V. Lomonosov Moscow State University

Abstract: In the paper, the GIT-equivalence classes of the linearized linear bundles for the diagonal actions of the linear algebraic groups $\operatorname{SL}(V)$ and $\operatorname{SO}(V)$ on the projective varieties $\mathbb{P}(V)^{m_1}\times\mathbb{P}(V^*)^{m_2}$ and $\mathbb{P}(V)^m$, respectively, are described explicitly.

Keywords: linearized linear bundle, projective variety, linear algebraic group, diagonal action, GIT-equivalence, Picard group, fan of cones, GIT-fan

DOI: https://doi.org/10.4213/mzm8776

Full text: PDF file (492 kB)
References: PDF file   HTML file

English version:
Mathematical Notes, 2011, 90:2, 250–259

Bibliographic databases:

UDC: 512.745.2
Received: 17.02.2010
Revised: 18.10.2010

Citation: P. Yu. Kotenkova, “GIT-Equivalence and Diagonal Actions”, Mat. Zametki, 90:2 (2011), 269–279; Math. Notes, 90:2 (2011), 250–259

Citation in format AMSBIB
\Bibitem{Kot11}
\by P.~Yu.~Kotenkova
\paper GIT-Equivalence and Diagonal Actions
\jour Mat. Zametki
\yr 2011
\vol 90
\issue 2
\pages 269--279
\mathnet{http://mi.mathnet.ru/mz8776}
\crossref{https://doi.org/10.4213/mzm8776}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2918442}
\transl
\jour Math. Notes
\yr 2011
\vol 90
\issue 2
\pages 250--259
\crossref{https://doi.org/10.1134/S0001434611070248}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000294363500024}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80052059219}


Linking options:
  • http://mi.mathnet.ru/eng/mz8776
  • https://doi.org/10.4213/mzm8776
  • http://mi.mathnet.ru/eng/mz/v90/i2/p269

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Математические заметки Mathematical Notes
    Number of views:
    This page:236
    Full text:69
    References:46
    First page:20

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019