On unirational quartic hypersurfaces

DOI10.1007/S40687-024-00449-8MaRDI QIDQ6494966

Ilya Karzhemanov

Publication date: 30 April 2024

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Complete intersections (14M10) Rational and birational maps (14E05)

Cites Work

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• Rational curves on \(K3\) surfaces
• Constructing rational curves on \(K3\) surfaces
• Some results on unirationality of algebraic surfaces
• The red book of varieties and schemes. Includes the Michigan lectures (1974) on ``Curves and their Jacobians.
• An example of unirational surfaces in characteristic \(p\)
• On endomorphisms of hypersurfaces
• Flexible varieties and automorphism groups
• Hypersurfaces of low degree
• Supersingular \(K3\) surfaces are unirational
• A note of Shimura's paper: Discontinuous groups and Abelian varieties
• Lectures on Supersingular K3 Surfaces and the Crystalline Torelli Theorem
• Unirationality and Existence of Infinitely Transitive Models
• Morphisms between Cremona groups, and characterization of rational varieties
• Group actions on affine cones
• Supersingular $K3$ surfaces
• Nonrational Hypersurfaces

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