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Tr. Mat. Inst. Steklova, 2009, Volume 264, Pages 209–211 (Mi tm816)  

This article is cited in 1 scientific paper (total in 1 paper)

Birational Maps and Special Lagrangian Fibrations

N. A. Tyurinab

a Moscow State University of Railway Communications, Moscow, Russia
b Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia

Abstract: Birational maps give the main research tool for the theory of Fano varieties, as we know from the fundamental works of V. A. Iskovskikh and his school. Nowadays one can exploit them in the new approach of D. Auroux to Mirror Symmetry of Fano varieties, which is based on a certain generalization of the notion of special Lagrangian fibration suitable for Fano varieties. We present a very simple example of how a special Lagrangian fibration can be transferred by a birational map.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2009, 264, 201–203

Bibliographic databases:

UDC: 512.7
Received in September 2008

Citation: N. A. Tyurin, “Birational Maps and Special Lagrangian Fibrations”, Multidimensional algebraic geometry, Collected papers. Dedicated to the Memory of Vasilii Alekseevich Iskovskikh, Corresponding Member of the Russian Academy of Sciences, Tr. Mat. Inst. Steklova, 264, MAIK Nauka/Interperiodica, Moscow, 2009, 209–211; Proc. Steklov Inst. Math., 264 (2009), 201–203

Citation in format AMSBIB
\Bibitem{Tyu09}
\by N.~A.~Tyurin
\paper Birational Maps and Special Lagrangian Fibrations
\inbook Multidimensional algebraic geometry
\bookinfo Collected papers. Dedicated to the Memory of Vasilii Alekseevich Iskovskikh, Corresponding Member of the Russian Academy of Sciences
\serial Tr. Mat. Inst. Steklova
\yr 2009
\vol 264
\pages 209--211
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm816}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2590848}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2009
\vol 264
\pages 201--203
\crossref{https://doi.org/10.1134/S0081543809010209}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-65749097821}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. S. A. Belev, N. A. Tyurin, “Nontoric Foliations by Lagrangian Tori of Toric Fano Varieties”, Math. Notes, 87:1 (2010), 43–51  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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