DEFORMATION CLASSES OF REAL FOUR-DIMENSIONAL CUBIC HYPERSURFACES

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2008-10-01

Author

Finashin, Sergey
Kharlamov, V.

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We study real nonsingular cubic hypersurfaces X subset of P-5 up to deformation equivalence combined with projective equivalence and prove that, they, are classified by the conjugacy classes of involutions induced by the complex conjugation in H-4(X). Moreover, we provide a graph Gamma(K4) whose vertices represent the equivalence classes of such cubics and whose edges represent their adjacency. It turns out that the graph Gamma(K4) essentially coincides with the graph Gamma(K3) characterizing a certain adjacency of real nonpolarized K3-surfaces,

Subject Keywords

Surfaces, Classification, 3-dimensional cubics

URI

https://hdl.handle.net/11511/38809

Journal

JOURNAL OF ALGEBRAIC GEOMETRY

DOI

https://doi.org/10.1090/s1056-3911-08-00491-8

Collections

Department of Mathematics, Article

Citation Formats

S. Finashin and V. Kharlamov, “DEFORMATION CLASSES OF REAL FOUR-DIMENSIONAL CUBIC HYPERSURFACES,” JOURNAL OF ALGEBRAIC GEOMETRY, vol. 17, no. 4, pp. 677–707, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38809.