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JOURNALS // Uspekhi Matematicheskikh Nauk // Archive

Uspekhi Mat. Nauk, 2022 Volume 77, Issue 2(464), Pages 123–182 (Mi rm10039)

This article is cited in 1 paper

Effective results in the theory of birational rigidity

A. V. Pukhlikov

University of Liverpool, Liverpool, UK

Abstract: This paper is a survey of recent effective results in the theory of birational rigidity of higher-dimensional Fano varieties and Fano–Mori fibre spaces.
Bibliography: 59 titles.

Keywords: Fano variety, Mori fibre space, birational map, birational rigidity, linear system, maximal singularity, quadratic singularity, multiquadratic singularity.

UDC: 512.76

MSC: 14E05

Received: 29.11.2021

DOI: 10.4213/rm10039


 English version:
Russian Mathematical Surveys, 2022, 77:2, 301–354

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© Steklov Math. Inst. of RAS, 2025