Hodge variety
From Encyclopedia of Mathematics
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Hodge manifold
A complex manifold on which a Hodge metric can be given, that is, a Kähler metric whose fundamental form defines an integral cohomology class. A compact complex manifold is a Hodge manifold if and only if it is isomorphic to a smooth algebraic subvariety of some complex projective space (Kodaira's projective imbedding theorem).
See also Kähler manifold.
References
| [1] | P.A. Griffiths, J.E. Harris, "Principles of algebraic geometry" , 1 , Wiley (1978) MR0507725 Zbl 0408.14001 |
How to Cite This Entry:
Hodge variety. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Hodge_variety&oldid=23856
Hodge variety. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Hodge_variety&oldid=23856
This article was adapted from an original article by A.L. Onishchik (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article