Birational geometry of algebraic varieties fibred into Fano double spaces

DOI10.1070/IM8493zbMath1452.14044arXiv1512.05681OpenAlexW2964003646MaRDI QIDQ5349258

Aleksandr V. Pukhlikov

Publication date: 24 August 2017

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

Full work available at URL: https://arxiv.org/abs/1512.05681

zbMATH Keywords

linear systemFano varietybirational mapmaximal singularityFano-Mori fibre space

Mathematics Subject Classification ID

Rational and birational maps (14E05) Fano varieties (14J45) Coverings in algebraic geometry (14E20) Rationally connected varieties (14M22)

Related Items (6)

The rationality problem for conic bundles ⋮ Factorial hypersurfaces ⋮ Birational geometry of varieties fibred into complete intersections of codimension two ⋮ Effective results in the theory of birational rigidity ⋮ Birationally rigid singular double quadrics and double cubics ⋮ Birationally rigid complete intersections of high codimension

Cites Work

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• ON CONIC BUNDLE STRUCTURES
• On the anti-canonical ring and varieties of Fano type
• Birational geometry of Fano direct products
• Two local inequalities

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