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2008 Mixed Hodge structures on log smooth degenerations
Taro Fujisawa
Tohoku Math. J. (2) 60(1): 71-100 (2008). DOI: 10.2748/tmj/1206734407

Abstract

We introduce the notion of a log smooth degeneration, which is a logarithmic analogue of the central fiber of some kind of degenerations of complex manifolds over polydiscs. Under suitable conditions, we construct a natural cohomological mixed Hodge complex on the reduction of a compact log smooth degeneration. In particular, we obtain mixed Hodge structures on the log de Rham cohomologies and $E_1$-degeneration of the log Hodge to de Rham spectral sequence for a certain kind of compact reduced log smooth degenerations.

Citation

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Taro Fujisawa. "Mixed Hodge structures on log smooth degenerations." Tohoku Math. J. (2) 60 (1) 71 - 100, 2008. https://doi.org/10.2748/tmj/1206734407

Information

Published: 2008
First available in Project Euclid: 28 March 2008

zbMATH: 1147.14004
MathSciNet: MR2419037
Digital Object Identifier: 10.2748/tmj/1206734407

Subjects:
Primary: 14C30
Secondary: 14D07, 32G20, 32S35

Rights: Copyright © 2008 Tohoku University

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