Double filtration of twisted logarithmic complex and Gauss-Manin connection
type: Item
instance of: scholarly article
title: Double filtration of twisted logarithmic complex and Gauss-Manin connection
zbMATH Open document ID: 1336.14018
author: Kazuhiko Aomoto
author: Yoshinori Machida
published in: Journal of the Mathematical Society of Japan
publication date: 2015-06-26T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.jmsj/1429624597
review text: The authors study the twisted de Rham complex associated to a finite family of complex polynomials of the same degree and satisfying some genericity conditions. This complex is compared to complexes of logarithmic differential forms, which are endowed with a natural double filtration. This approach gives new information on the bases for the twisted de Rham cohomology.
Mathematics Subject Classification ID: 14F40
Mathematics Subject Classification ID: 33C70
zbMATH DE Number: 6451282
zbMATH Keywords: hypergeometric integrals
zbMATH Keywords: twisted de Rham complex
zbMATH Keywords: logarithmic forms
zbMATH Keywords: filtrations
reviewed by: Alexandru Dimca
MaRDI profile type: Publication
OpenAlex ID: W2052744867
cites work: Q4106555
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cites work: Theory of Hypergeometric Functions
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cites work: On a generalization of de Rham lemma
DOI: 10.2969/JMSJ/06720609
description: scientific article