SASAKIAN MANIFOLDS, HODGE DECOMPOSITION AND MILNOR ALGEBRAS

SASAKIAN MANIFOLDS, HODGE DECOMPOSITION AND MILNOR ALGEBRAS

In this paper we show that Hodge numbers hp,q of a compact Sasakian (2n + 1)-manifold M, 2n + 1 ≥ 5, are given by the dimension of certain linear subspaces of the Milnor algebras C[zi]/(∂f/∂zi), when M is a link of an isolated singularity associated with a weighted homogeneous polynomial f = f(z1,…,...

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Veröffentlicht in:Kyushu Journal of Mathematics 2004, Vol.58(1), pp.121-140
1. Verfasser: ITOH, Mitsuhiro
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we show that Hodge numbers hp,q of a compact Sasakian (2n + 1)-manifold M, 2n + 1 ≥ 5, are given by the dimension of certain linear subspaces of the Milnor algebras C[zi]/(∂f/∂zi), when M is a link of an isolated singularity associated with a weighted homogeneous polynomial f = f(z1,…,zn+2).
ISSN:1340-6116
1883-2032
DOI:10.2206/kyushujm.58.121