Birationally rigid Fano fibre spaces. II

DOI10.1070/IM2015v079n04ABEH002762zbMath1335.14004arXiv1407.0687OpenAlexW3106333072MaRDI QIDQ3449048

Aleksandr V. Pukhlikov

Publication date: 3 November 2015

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0687

zbMATH Keywords

linear systembirational rigiditycanonical classlog canonical singularitymaximal singularityhypertangent divisorFano-Mori fibre space

Mathematics Subject Classification ID

Rational and birational maps (14E05) Fibrations, degenerations in algebraic geometry (14D06) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30) Rationally connected varieties (14M22)

Related Items (14)

Birational geometry of varieties fibred into complete intersections of codimension two ⋮ Effective results in the theory of birational rigidity ⋮ Birationally rigid finite covers of the projective space ⋮ Birational geometry of algebraic varieties fibred into Fano double spaces ⋮ Birational rigidity and K-stability of Fano hypersurfaces with ordinary double points ⋮ Birationally rigid singular double quadrics and double cubics ⋮ Canonical and log canonical thresholds of multiple projective spaces ⋮ Alpha invariants of birationally bi-rigid Fano 3-folds I ⋮ Effective birational rigidity of Fano double hypersurfaces ⋮ Birational geometry of singular Fano hypersurfaces of index two ⋮ Remarks on Galois rational coverings ⋮ A Remark on Rationally Connected Varieties and Mori Dream Spaces ⋮ Birationally rigid complete intersections of high codimension ⋮ Birational geometry of singular Fano double spaces of index two

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