Higher index Fano varieties with finitely many birational automorphisms

DOI10.1112/S0010437X22007771OpenAlexW4310689656MaRDI QIDQ5056328

Nathan Chen, David P. Stapleton

Publication date: 8 December 2022

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

Full work available at URL: https://arxiv.org/abs/2110.09568

zbMATH Keywords

rigidityFano varietiesbirational automorphismshypersurfaces

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Rational and unirational varieties (14M20) Rational and birational maps (14E05)

Cites Work

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• Birational geometry of Fano hypersurfaces of index two
• Birational isomorphisms of four-dimensional quintics
• Bounds for log canonical thresholds with applications to birational rigidity
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• Birationally rigid hypersurfaces
• Birational geometry of singular Fano hypersurfaces of index two
• On the automorphisms of hypersurfaces
• On a smooth quintic 4-fold
• Hypersurfaces that are not stably rational
• Hypersurfaces quartiques de dimension 3 : non-rationalité stable
• Birational geometry of Fano double spaces of index two
• Birationally rigid Fano hypersurfaces
• Nonrational Hypersurfaces
• Abel-Jacobi map, integral Hodge classes and decomposition of the diagonal
• Birational geometry of singular Fano double spaces of index two
• FANO HYPERSURFACES WITH ARBITRARILY LARGE DEGREES OF IRRATIONALITY
• Stably irrational hypersurfaces of small slopes
• Erratum to: ``Birationally rigid hypersurfaces

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