Logarithmic cohomology of the complement of a plane curve
UNSPECIFIED. (2002) Logarithmic cohomology of the complement of a plane curve. COMMENTARII MATHEMATICI HELVETICI, 77 (1). pp. 24-38. ISSN 0010-2571Full text not available from this repository.
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 , 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|
|Number of Pages:||15|
|Page Range:||pp. 24-38|
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