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2010•Russian Mathematical SurveysOpen access

Birationally rigid varieties. II. Fano fibre spaces

Александр Валентинович Пухликов

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Abstract

This paper gives a survey of the modern theory of birational rigidity for Fano fibre spaces over a base of positive dimension. It is a sequel to a previous survey on birational rigidity of Fano varieties. Here techniques of the method of maximal singularities are described for Fano fibre spaces. Bibliography: 53 titles.

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This paper gives a survey of the modern theory of birational rigidity for Fano fibre spaces over a base of positive dimension. It is a sequel to a previous survey on birational rigidity of Fano varieties. Here techniques of the method of maximal singularities are described for Fano fibre spaces. Bibliography: 53 titles.

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This paper gives a survey of the modern theory of birational rigidity for Fano fibre spaces over a base of positive dimension. It is a sequel to a previous survey on birational rigidity of Fano varieties. Here techniques of the method of maximal singularities are described for Fano fibre spaces. Bibliography: 53 titles.

Key concepts: Fano plane, Rigidity (electromagnetism), Mathematics, Gravitational singularity, Dimension (graph theory), Pure mathematics, Mathematical analysis, Quantum mechanics

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