Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-05T21:09:18.855Z Has data issue: false hasContentIssue false
  • English
  • Français

Limits of Hodge Structure in Several Variables

Published online by Cambridge University Press:  04 December 2007

TARO FUJISAWA
TARO FUJISAWA
Affiliation:
Nagano National College of Technology, 716 Tokuma, Nagano 381, Japan; e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We define the notion of a morphism of generalized semi-stable type, which is a generalization of the notion of a semistable degeneration over a curve. We partially generalize Steenbrink‘s results on the limit of Hodge structures to the case of such a morphism. As an application we prove the E1-degeneration of the relative Hodge–De Rham spectral sequence for this case.

Keywords

variation of Hodge structureslimit of Hodge structureslog structuremorphism of generalized semi-stable type.
Type
Research Article
Information
Compositio Mathematica , Volume 115 , Issue 2 , February 1999 , pp. 129 - 183
Copyright
© 1999 Kluwer Academic Publishers