Article
Cohomology of the complement of a free divisor
Author/s | Castro Jiménez, Francisco Jesús
Narváez Macarro, Luis Mond, David |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 1996-08 |
Deposit Date | 2022-11-09 |
Published in |
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Abstract | We prove that if D is a "strongly quasihomogeneous" free divi-
sor in the Stein manifold X, and U is its complement, then the de Rham
cohomology of U can be computed as the cohomology of the complex of mero-
morphic ... We prove that if D is a "strongly quasihomogeneous" free divi- sor in the Stein manifold X, and U is its complement, then the de Rham cohomology of U can be computed as the cohomology of the complex of mero- morphic differential forms on X with logarithmic poles along D, with exterior derivative. The class of strongly quasihomogeneous free divisors, introduced here, includes free hyperplane arrangements and the discriminants of stable mappings in Mather's nice dimensions (and in particular the discriminants of Coxeter groups). |
Citation | Castro Jiménez, F.J., Narváez Macarro, L. y Mond, D. (1996). Cohomology of the complement of a free divisor. Transactions of the American Mathematical Society, 348 (8), 3037-3049. |
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