Loading [MathJax]/jax/output/CommonHTML/jax.js
Mathematics of the USSR-Sbornik
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

Mathematics of the USSR-Sbornik, 1972, Volume 18, Issue 2, Pages 169–179
DOI: https://doi.org/10.1070/SM1972v018n02ABEH001749 (Mi sm3224) 		 
This article is cited in 4 scientific papers (total in 5 papers)

Height on families of Abelian varieties

Yu. G. Zarhin, Yu. I. Manin
English version PDF (564 kB) Citations (5) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1972v018n02ABEH001749
Abstract: Let X be an Abelian variety imbedded in projective space, and let L be an induced invertible sheaf on X.
In this paper explicit bounds are determined for the difference ˆhL−hL, where ˆhL is the Neron–Tate height and hL is the Weil height.
Bibliography: 5 titles.
Received: 30.05.1972
Bibliographic databases:
Document Type: Article
UDC: 513.015.7
MSC: 14K05
Language: English
Original paper language: Russian
Citation: Yu. G. Zarhin, Yu. I. Manin, “Height on families of Abelian varieties”, Math. USSR-Sb., 18:2 (1972), 169–179
Citation in format AMSBIB
\Bibitem{ZarMan72}
\by Yu.~G.~Zarhin, Yu.~I.~Manin
\paper Height on families of Abelian varieties
\jour Math. USSR-Sb.
\yr 1972
\vol 18
\issue 2
\pages 169--179
\mathnet{http://mi.mathnet.ru/eng/sm3224}
\crossref{https://doi.org/10.1070/SM1972v018n02ABEH001749}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=332801}
\zmath{https://zbmath.org/?q=an:0256.14018}
Linking options:
  • https://www.mathnet.ru/eng/sm3224
  • https://doi.org/10.1070/SM1972v018n02ABEH001749
  • https://www.mathnet.ru/eng/sm/v131/i2/p171
    • This publication is cited in the following 5 articles:
    1. V. G. Drinfeld, V. A. Iskovskikh, A. I. Kostrikin, A. N. Tyurin, I. R. Shafarevich, “Yurii Ivanovich Manin (on his 60th birthday)”, Russian Math. Surveys, 52:4 (1997), 863–873  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. Joseph H. Silverman, “Elliptic curves of bounded degree and height”, Proc. Amer. Math. Soc., 105:3 (1989), 540  crossref
    3. D. W. Masser, Lecture Notes in Mathematics, 1290, Diophantine Approximation and Transcendence Theory, 1987, 109  crossref
    4. Joseph H. Silverman, “Integer points and the rank of Thue elliptic curves”, Invent Math, 66:3 (1982), 395  crossref
    5. Joseph H. Silverman, Progress in Mathematics, 26, Number Theory Related to Fermat's Last Theorem, 1982, 263  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:521
    Russian version PDF:172
    English version PDF:35
    References:82
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025