Deformation Classes of Real Four-dimensional Cubic Hypersurfaces

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dc.creatorFinashin, S.
dc.creatorKharlamov, V.
dc.date2006-07-05
dc.date.accessioned2026-07-07T09:35:56Z
dc.date.available2026-07-07T09:35:56Z
dc.descriptionWe study real nonsingular projective cubic fourfolds 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 the middle homology. Moreover, we provide a graph whose vertices represent the equivalence classes of such cubics and edges represent their adjacency. It turns out that this graph essentially coincides with the graph characterizing a certain adjacency of real non-polarized K3-surfaces.
dc.description25 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0607137
dc.identifierhttp://arxiv.org/abs/math/0607137
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159997
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.subject14P25 (Primary); 14J10; 14N25; 14J35; 14J70 (Secondary)
dc.titleDeformation Classes of Real Four-dimensional Cubic Hypersurfaces
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