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Birationally rigid Fano varieties

Aleksandr V. Pukhlikov
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Abstract

We give a brief survey of the concept of birational rigidity, from its origins in the two-dimensional birational geometry, to its current state. The main ingredients of the method of maximal singularities are discussed. The principal results of the theory of birational rigidity of higher-dimensional Fano varieties and fibrations are given and certain natural conjectures are formulated.

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Aleksandr V. Pukhlikov. 2003-10-17. Birationally rigid Fano varieties. https://arxiv.org/abs/math/0310267

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