A remark on the nonrationality problem for generic cubic fourfolds

DOI10.1134/S0001434608010070zbMath1147.14018arXivmath/0610963OpenAlexW2111308919MaRDI QIDQ948558

Viktor S. Kulikov

Publication date: 16 October 2008

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610963

zbMATH Keywords

cubic fourfoldHodge structure

Mathematics Subject Classification ID

(4)-folds (14J35) Rationality questions in algebraic geometry (14E08)

Related Items (1)

Cycles, derived categories, and rationality

Cites Work

• Unnamed Item
• Modifikation von reellen und komplexen Mannigfaltigkeiten
• Three constructions of rationality of a four-dimensional cubic
• Théorème de Torelli pour les cubiques de \({\mathbb{P}}^ 5\). (Torelli theorem for the cubics of \({\mathbb{P}}^ 5)\)
• Hodge cycles, motives, and Shimura varieties
• The intermediate Jacobian of the cubic threefold
• On the periods of certain rational integrals. I, II

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