Birational geometry of singular Fano hypersurfaces of index two

DOI10.1007/s00229-018-1075-3zbMath1504.14024arXiv1712.08796OpenAlexW2964318141WikidataQ129157601 ScholiaQ129157601MaRDI QIDQ2285841

Aleksandr V. Pukhlikov

Publication date: 9 January 2020

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.08796

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Rational and birational maps (14E05)

Related Items (6)

Higher index Fano varieties with finitely many birational automorphisms ⋮ Birational geometry of varieties fibred into complete intersections of codimension two ⋮ Effective results in the theory of birational rigidity ⋮ Canonical and log canonical thresholds of multiple projective spaces ⋮ K-stability of birationally superrigid Fano varieties ⋮ Birational geometry of singular Fano double spaces of index two

Cites Work

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• Stable rationality and conic bundles
• Birational geometry of Fano hypersurfaces of index two
• Birationally rigid singular double quadrics and double cubics
• The \(4n^2\)-inequality for complete intersection singularities
• On stable rationality of Fano threefolds and del Pezzo fibrations
• Hypersurfaces that are not stably rational
• Jordan property for Cremona groups
• Cyclic covers that are not stably rational
• On the Locus of Nonrigid Hypersurfaces
• Birationally rigid Fano fibre spaces. II
• Stable rationality of higher dimensional conic bundles
• A very general quartic double fourfold is not stably rational
• Birationally rigid Fano hypersurfaces
• Birational rigidity in not an open property
• Birationally rigid complete intersections of codimension two
• Varieties that are not stably rational, zero-cycles and unramified cohomology
• Jordan property for groups of birational selfmaps
• Birationally rigid Fano threefold hypersurfaces
• Local inequalities and birational superrigidity of Fano varieties
• Stable Rationality of del Pezzo Fibrations of Low Degree Over Projective Spaces

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