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Trudy Matematicheskogo Instituta imeni V.A. 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
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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.
Received in September 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 264, Pages 201–203
DOI: https://doi.org/10.1134/S0081543809010209
Bibliographic databases:
UDC: 512.7
Language: Russian
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, Trudy Mat. Inst. Steklova, 264, MAIK Nauka/Interperiodica, Moscow, 2009, 209–211; Proc. Steklov Inst. Math., 264 (2009), 201–203
Citation in format AMSBIB
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\paper Birational Maps and Special Lagrangian Fibrations
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\serial Trudy Mat. Inst. Steklova
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\vol 264
\pages 209--211
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 1 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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