Birationally rigid Fano varieties

Details Birationally rigid Fano varieties Birationally rigid Fano varieties

2003-10-17

arxiv.org/abs/math/0310267v1

Mathematics

Algebraic Geometry

24 pages, to appear in the Proceedings of Fano conference

Scientific paper

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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