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Stable mappings and logarithmic relative symplectic forms
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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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | MATHEMATISCHE ZEITSCHRIFT | ||||
Publisher: | SPRINGER VERLAG | ||||
ISSN: | 0025-5874 | ||||
Official Date: | August 1999 | ||||
Dates: |
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Volume: | 231 | ||||
Number: | 4 | ||||
Number of Pages: | 19 | ||||
Page Range: | pp. 605-623 | ||||
Publication Status: | Published |
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