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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. 587617. ISSN 00246115

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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:  00246115 
Official Date:  November 2000 
Volume:  Vol.81 
Number:  No.3 
Page Range:  pp. 587617 
Identification Number:  10.1112/S002461150001265X 
Status:  Peer Reviewed 
Access rights to Published version:  Open Access 
References:  1. E. V. Brieskorn, `Die Monodromie der isolierten Singularitaten von Hyper¯achen', Manuscripta Math. 2 (1970) 103±161. 
URI:  http://wrap.warwick.ac.uk/id/eprint/825 
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