Geodesic
Birationally rigid varieties. II.~Fano fibre spaces
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 65 (2010) no. 6, pp. 1083-1171

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This paper gives a survey of the modern theory of birational rigidity for Fano fibre spaces over a base of positive dimension. It is a sequel to a previous survey on birational rigidity of Fano varieties. Here techniques of the method of maximal singularities are described for Fano fibre spaces. Bibliography: 53 titles.
Keywords: Fano variety, birational rigidity, maximal singularity.
Mots-clés : Fano fibre space, fibrewise modification 
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     author = {A. V. Pukhlikov},
     title = {Birationally rigid varieties. {II.~Fano} fibre spaces},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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A. V. Pukhlikov. Birationally rigid varieties. II.~Fano fibre spaces. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 65 (2010) no. 6, pp. 1083-1171. http://geodesic.mathdoc.fr/item/RM_2010_65_6_a1/