Processing math: 100%
Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


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




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

Sbornik: Mathematics, 2021, Volume 212, Issue 3, Pages 374–388
DOI: https://doi.org/10.1070/SM9451 (Mi sm9451) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On automorphisms of quasi-smooth weighted complete intersections

V. V. Przyjalkowskiab, С. A. Shramovac

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b International Laboratory for Mirror Symmetry and Automorphic Forms, National Research University Higher School of Economics, Moscow, Russia
c Laboratory of Algebraic Geometry and Its Applications, National Research University Higher School of Economics, Moscow, Russia
English version PDF (526 kB) Citations (6) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM9451
Abstract: We show that every reductive subgroup of the automorphism group of a quasi-smooth well-formed weighted complete intersection of dimension at least 3 is a restriction of a subgroup in the automorphism group in the ambient weighted projective space. Also, we provide examples demonstrating that the automorphism group of a quasi-smooth well-formed Fano weighted complete intersection may be infinite and even non-reductive.
Bibliography: 25 titles.
Keywords: weighted complete intersection, automorphism group, linear algebraic group.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.641.31.0001
5-100
Foundation for the Advancement of Theoretical Physics and Mathematics BASIS
HSE Basic Research Program
The research of V. V. Przyjalkowski was carried out with the support of the Laboratory for Mirror Symmetry and Automorphic Forms, National Research University Higher School of Economics, RF Government grant, ag. no. 14.641.31.0001, and the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS”. The research of K. A. Shramov was carried out with the support of the Basic Research Programme of the National Research University Higher School of Economics and the Russian Academic Excellence Project “5-100” and the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS”.
Received: 21.05.2020 and 01.12.2020
Bibliographic databases:
Document Type: Article
UDC: 512.544.42+512.745
MSC: 14J50, 14M10
Language: English
Original paper language: Russian
Citation: V. V. Przyjalkowski, С. A. Shramov, “On automorphisms of quasi-smooth weighted complete intersections”, Sb. Math., 212:3 (2021), 374–388
Citation in format AMSBIB
\Bibitem{PrzShr21}
\by V.~V.~Przyjalkowski, С.~A.~Shramov
\paper On automorphisms of quasi-smooth weighted complete intersections
\jour Sb. Math.
\yr 2021
\vol 212
\issue 3
\pages 374--388
\mathnet{http://mi.mathnet.ru/eng/sm9451}
\crossref{https://doi.org/10.1070/SM9451}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2354283}
\zmath{https://zbmath.org/?q=an:1466.14050}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2021SbMat.212..374P}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000701488400001}
\elib{https://elibrary.ru/item.asp?id=46084904}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85106621781}
Linking options:
  • https://www.mathnet.ru/eng/sm9451
  • https://doi.org/10.1070/SM9451
  • https://www.mathnet.ru/eng/sm/v212/i3/p112
    • This publication is cited in the following 6 articles:
    1. Michael Chitayat, “Rationality of weighted hypersurfaces of special degree”, Journal of Algebra, 665 (2025), 7  crossref
    2. Louis Esser, “Automorphisms of weighted projective hypersurfaces”, Journal of Pure and Applied Algebra, 228:6 (2024), 107628  crossref  mathscinet
    3. Louis Esser, Lena Ji, Joaquín Moraga, “Symmetries of Fano varieties”, Journal für die reine und angewandte Mathematik (Crelles Journal), 2024  crossref
    4. M. A. Ovcharenko, “On the existence of nef-partitions for smooth well-formed Fano weighted complete intersections”, Sib. elektron. matem. izv., 20:2 (2023), 1405–1419  mathnet  crossref  mathscinet
    5. M. A. Ovcharenko, “The classification of smooth well-formed Fano weighted complete intersections”, Int. J. Math., 34:11 (2023), 2350064  mathnet  crossref  mathscinet  isi
    6. V. V. Przyjalkowski, С. A. Shramov, “Smooth Prime Fano Complete Intersections in Toric Varieties”, Math. Notes, 109:4 (2021), 609–613  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:493
    Russian version PDF:69
    English version PDF:74
    Russian version HTML:178
    References:49
    First page:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025