UNSPECIFIED (1999) Stable mappings and logarithmic relative symplectic forms. MATHEMATISCHE ZEITSCHRIFT, 231 (4). pp. 605-623. ISSN 0025-5874

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Abstract

Let D be the image of a stable, weighted homogeneous map f : C-n --> Cn+l, with dim(C)Ker (df(0)) = 1, and which is not a trivial deformation of a lower-dimensional map. By proving a variant of the Buchsbaum-Eisenbud structure theorem for grade 3 Gorenstein quotients. we show the existence of a form omega is an element of Omega(2)(log D) which restrictst to a non-degenerate holomorphic 2-form on the Milnor fibres of D; experiments with the computer algebra programme Macaulay suggest this restriction is closed, and is thus a holomorphic symplectic form.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	MATHEMATISCHE ZEITSCHRIFT
Publisher:	SPRINGER VERLAG
ISSN:	0025-5874
Date:	August 1999
Volume:	231
Number:	4
Number of Pages:	19
Page Range:	pp. 605-623
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/14208

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