Aleksandr V. Pukhlikov
Published 2003-10-17Version 1
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.
Comments: 24 pages, to appear in the Proceedings of Fano conference
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