Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-25T03:20:59.018Z Has data issue: false hasContentIssue false

Limits of Hodge Structure in Several Variables

Published online by Cambridge University Press:  04 December 2007

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.

Type
Research Article
Copyright
© 1999 Kluwer Academic Publishers