Birationally rigid Fano varieties
代数几何
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0310267,
title = {Birationally rigid Fano varieties},
author = {Aleksandr V. Pukhlikov},
journal= {arXiv preprint arXiv:math/0310267},
year = {2007}
}
备注
24 pages, to appear in the Proceedings of Fano conference