Geodesic
Birational Maps and Special Lagrangian Fibrations
Informatics and Automation, Multidimensional algebraic geometry, Tome 264 (2009), pp. 209-211 
N. A. Tyurin. Birational Maps and Special Lagrangian Fibrations. Informatics and Automation, Multidimensional algebraic geometry, Tome 264 (2009), pp. 209-211. http://geodesic.mathdoc.fr/item/TRSPY_2009_264_a19/
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     title = {Birational {Maps} and {Special} {Lagrangian} {Fibrations}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Auroux D., “Mirror symmetry and T-duality in the complement of an anticanonical divisor”, J. Gökova Geom. Topol., 1 (2007), 51–91 ; arXiv: 0706.3207 | MR | Zbl

[2] Griffiths P., Harris J., Principles of algebraic geometry, Wiley, New York, 1978 | MR | Zbl