Trudy Matematicheskogo Instituta imeni V.A. Steklova
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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2003, Volume 240, Pages 73–81 (Mi tm383)  
This article is cited in 5 scientific papers (total in 6 papers)

Directional Rational Approximations with Some Applications to Algebraic Geometry

A. A. Borisova, V. V. Shokurovb

a Pennsylvania State University
b Johns Hopkins University
Full-text PDF (188 kB) Citations (6)
References:
PDF
HTML
Abstract: We discuss the existence and order of accuracy of directional rational approximations of points in $\mathbb R^n$. As an application, we provide a simplified version of the lemma on Diophantine approximation. We also prove a generalization of the Rationality Theorem of log-MMP on the basis of a newer geometric approach.
Received in October 2002
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: A. A. Borisov, V. V. Shokurov, “Directional Rational Approximations with Some Applications to Algebraic Geometry”, Birational geometry: Linear systems and finitely generated algebras, Collected papers, Trudy Mat. Inst. Steklova, 240, Nauka, MAIK «Nauka/Inteperiodika», M., 2003, 73–81; Proc. Steklov Inst. Math., 240 (2003), 66–74
Citation in format AMSBIB
\Bibitem{BorSho03}
\by A.~A.~Borisov, V.~V.~Shokurov
\paper Directional Rational Approximations with Some Applications to Algebraic Geometry
\inbook Birational geometry: Linear systems and finitely generated algebras
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2003
\vol 240
\pages 73--81
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm383}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1993749}
\zmath{https://zbmath.org/?q=an:1125.11333}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2003
\vol 240
\pages 66--74
Linking options:
  • https://www.mathnet.ru/eng/tm383
  • https://www.mathnet.ru/eng/tm/v240/p73
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Òðóäû Ìàòåìàòè÷åñêîãî èíñòèòóòà èìåíè Â. À. Ñòåêëîâà Proceedings of the Steklov Institute of Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024