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Logarithmic cohomology of the complement of a plane curve
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UNSPECIFIED (2002) Logarithmic cohomology of the complement of a plane curve. COMMENTARII MATHEMATICI HELVETICI, 77 (1). pp. 24-38. ISSN 0010-2571
Full text not available from this repository.Abstract
Let D,x be a plane curve germ. We prove that the complex Omega(circle)(log D)(x) computes the cohomology of the complement of D, x only if D is quasihomogeneous. This is a partial converse to a theorem of [5], which asserts that this complex does compute the cohomology of the complement, whenever D is a locally weighted homogeneous free divisor (and so in particular when D is a quasihomogeneous plane curve germ). We also give an example of a free divisor D subset of C-3 which is not locally weighted homogeneous, but for which this (second) assertion continues to hold.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | COMMENTARII MATHEMATICI HELVETICI |
| Publisher: | BIRKHAUSER VERLAG AG |
| ISSN: | 0010-2571 |
| Date: | 2002 |
| Volume: | 77 |
| Number: | 1 |
| Number of Pages: | 15 |
| Page Range: | pp. 24-38 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/11015 |
Data sourced from Thomson Reuters' Web of Knowledge
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