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DEFORMATION CLASSES OF REAL FOUR-DIMENSIONAL CUBIC HYPERSURFACES
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Date
2008-10-01
Author
Finashin, Sergey
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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
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S. Finashin, “DEFORMATION CLASSES OF REAL FOUR-DIMENSIONAL CUBIC HYPERSURFACES,”
JOURNAL OF ALGEBRAIC GEOMETRY
, pp. 677–707, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38809.