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Deformation classes of real four-dimensional cubic hypersurfaces
Author(s):
S.
Finashin;
V.
Kharlamov
Journal:
J. Algebraic Geom.
17
(2008),
677-707.
Posted:
March 3, 2008
Retrieve article in:
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Abstract |
References |
Additional information
Abstract:
We study real nonsingular cubic hypersurfaces  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  . Moreover, we provide a graph  whose vertices represent the equivalence classes of such cubics and whose edges represent their adjacency. It turns out that the graph  essentially coincides with the graph  characterizing a certain adjacency of real nonpolarized K3-surfaces.
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Additional Information:
S.
Finashin
Affiliation:
Middle East Technical University, Department of Mathematics, Ankara 06531 Turkey
Email:
serge@metu.edu.tr
V.
Kharlamov
Affiliation:
Louis Pasteur et IRMA (CNRS), 7 rue René Descartes 67084 Strasbourg Cedex, France
Email:
kharlam@math.u-strasbg.fr
PII:
S 1056-3911(08)00491-8
Received by editor(s):
July 5, 2006
Received by editor(s) in revised form:
May 2, 2007
Posted:
March 3, 2008
Additional Notes:
The second author is supported by ANR-05-BLAN-0053-01.
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