Deformation classes of real four-dimensional cubic hypersurfaces

DOI10.1090/S1056-3911-08-00491-8zbMath1225.14047arXivmath/0607137MaRDI QIDQ3528480

Sergey Finashin, Viatcheslav Kharlamov

Publication date: 16 October 2008

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607137

zbMATH Keywords

deformation equivalenceconjugacy classes of involutions in homology groups.

Mathematics Subject Classification ID

Real algebraic sets (14P05) Nash functions and manifolds (14P20)

Related Items (8)

The first homology of a real cubic is generated by lines ⋮ Real two-dimensional intersections of a quadric by a cubic ⋮ K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space IV: The structure of the invariant ⋮ Chirality of real non-singular cubic fourfolds and their pure deformation classification ⋮ $K3$ surfaces with involution and analytic torsion ⋮ On the deformation chirality of real cubic fourfolds ⋮ Equivariant topological classification of the Fano varieties of real four-dimensional cubics ⋮ On the Fano variety of a class of real four-dimensional cubics

Cites Work

• Finiteness and quasi-simplicity for symmetric \(K3\)-surfaces
• Modifikation von reellen und komplexen Mannigfaltigkeiten
• Théorème de Torelli pour les cubiques de \({\mathbb{P}}^ 5\). (Torelli theorem for the cubics of \({\mathbb{P}}^ 5)\)
• Real Enriques surfaces
• Quadratic forms on finite groups, and related topics
• Projective Models of K - 3 Surfaces
• The topological classification of Fano surfaces of real three-dimensional cubics
• Rigid isotopy classification of real three-dimensional cubics
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