Loading [MathJax]/jax/output/SVG/config.js
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, 2010, Volume 201, Issue 12, Pages 1801–1810
DOI: https://doi.org/10.1070/SM2010v201n12ABEH004132 (Mi sm7697) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Endomorphisms of Abelian varieties, cyclotomic extensions and Lie algebras

Yu. G. Zarhinab

a Institute of Mathematical Problems of Biology, Russian Academy of Sciences
b Pennsylvania State University
English version PDF (306 kB) Citations (3) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2010v201n12ABEH004132
Abstract: We prove an analogue of the Tate conjecture on homomorphisms of Abelian varieties over infinite cyclotomic extensions of finitely generated fields of characteristic zero.
Bibliography: 19 titles.
Keywords: Abelian varieties, Tate modules, Tate conjecture.
Received: 21.02.2010
Bibliographic databases:
Document Type: Article
UDC: 512.742.7
MSC: 14J50, 14K99
Language: English
Original paper language: Russian
Citation: Yu. G. Zarhin, “Endomorphisms of Abelian varieties, cyclotomic extensions and Lie algebras”, Sb. Math., 201:12 (2010), 1801–1810
Citation in format AMSBIB
\Bibitem{Zar10}
\by Yu.~G.~Zarhin
\paper Endomorphisms of Abelian varieties, cyclotomic extensions and Lie algebras
\jour Sb. Math.
\yr 2010
\vol 201
\issue 12
\pages 1801--1810
\mathnet{http://mi.mathnet.ru/eng/sm7697}
\crossref{https://doi.org/10.1070/SM2010v201n12ABEH004132}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2760104}
\zmath{https://zbmath.org/?q=an:1211.14051}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011SbMat.201.1801Z}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000287230700005}
\elib{https://elibrary.ru/item.asp?id=20338819}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79955629410}
Linking options:
  • https://www.mathnet.ru/eng/sm7697
  • https://doi.org/10.1070/SM2010v201n12ABEH004132
  • https://www.mathnet.ru/eng/sm/v201/i12/p93
    • This publication is cited in the following 3 articles:
    1. Samir Siksek, Robin Visser, “Curves with few bad primes over cyclotomic ℤℓ-extensions”, Alg. Number Th., 19:1 (2025), 113  crossref
    2. A. N. Skorobogatov, Yu. G. Zarhin, “The Brauer group and the Brauer-Manin set of products of varieties”, J. Eur. Math. Soc., 16:4 (2014), 749–768  crossref  mathscinet  isi  elib  scopus  scopus  scopus
    3. Yu. G. Zarhin, “Homomorphisms of abelian varieties over geometric fields of finite characteristic”, J. Inst. Math. Jussieu, 12:2 (2013), 225–236  crossref  mathscinet  zmath  isi  elib  scopus  scopus  scopus
    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:550
    Russian version PDF:213
    English version PDF:21
    References:65
    First page:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025