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Differential forms on free and almost free divisors

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Mond, D. (David). (2000) Differential forms on free and almost free divisors. Proceedings of the London Mathematical Society, Vol.81 (No.3). pp. 587-617. ISSN 0024-6115

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Official URL: http://dx.doi.org/10.1112/S002461150001265X

Abstract

We introduce a variant of the usual Kähler forms on singular free divisors, and show that it enjoys the same depth properties as Kähler forms on isolated hypersurface singularities. Using these forms it is possible to describe analytically the vanishing cohomology, and the Gauss–Manin connection, in families of free divisors, in precise analogy with the classical description for the Milnor fibration of an isolated complete intersection singularity, due to Brieskorn and Greuel. This applies in particular to the family Formula of discriminants of a versal deformation Formula of a singularity of a mapping.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Deformations of singularities, Singularities (Mathematics), Monodromy groups, Group theory, Divisor theory
Journal or Publication Title:	Proceedings of the London Mathematical Society
Publisher:	Cambridge University Press
ISSN:	0024-6115
Date:	November 2000
Volume:	Vol.81
Number:	No.3
Page Range:	pp. 587-617
Identification Number:	10.1112/S002461150001265X
Status:	Peer Reviewed
Access rights to Published version:	Open Access
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URI:	http://wrap.warwick.ac.uk/id/eprint/825