RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Trudy MIAN:
Year:
Volume:
Issue:
Page:
Find






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


Tr. Mat. Inst. Steklova, Forthcoming paper (Mi tm4024)  

Orbit closures of the Witt group actions

V. L. Popov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: We prove that, for any prime integer $p\geqslant 2$, there exist an algebraic action of the two-dimensional Witt group $W_2(p)$ on an algebraic variety $X$ and a point $x\in X$ such that the closure of the $W_2(p)$-orbit of $x$ in $X$ contains infinitely many $W_2(p)$-orbits. This is related to the problem of extending from characteristic zero to characteristic $p$ the classification of connected affine algebraic groups $G$ such that there are only finitely many $G$-orbits in every algebraic $G$-variety containing a dense open $G$-orbit.


Document Type: Article
UDC: 512.743

Linking options:
  • http://mi.mathnet.ru/eng/tm4024

    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
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Number of views:
    This page:13

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