Rational cubic fourfolds in Hassett divisors

DOI10.5802/CRMATH.4zbMath1440.14041arXiv1905.01936OpenAlexW3034805998MaRDI QIDQ784344

Song Yang, Xun Yu

Publication date: 3 August 2020

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01936

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Rationality questions in algebraic geometry (14E08)

Related Items (1)

On lattice polarizable cubic fourfolds

Cites Work

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• Hodge theory and derived categories of cubic fourfolds
• The moduli space of cubic fourfolds via the period map
• Some aspects of the Hodge conjecture
• The period map for cubic fourfolds
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• Some loci of rational cubic fourfolds
• Specialization of birational types
• The intermediate Jacobian of the cubic threefold
• Congruences of 5-secant conics and the rationality of some admissible cubic fourfolds
• Sulle forme cubiche dello spazio a cinque dimensioni contenenti rigate razionali del \(4^\circ\) ordine
• Derived Categories of Cubic Fourfolds
• Hodge Theory of Cubic Fourfolds, Their Fano Varieties, and Associated K3 Categories
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• Cubic fourfolds fibered in sextic del Pezzo surfaces
• Cubic Fourfolds, K3 Surfaces, and Rationality Questions
• The K3 category of a cubic fourfold
• Cubic fourfolds containing a plane and a quintic del Pezzo surface

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