Article
Logarithmic Comparison Theorem and some Euler homogeneous free divisors
Author/s | Castro Jiménez, Francisco Jesús
![]() ![]() ![]() ![]() ![]() ![]() ![]() Ucha Enríquez, José María ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2005 |
Deposit Date | 2021-02-04 |
Published in |
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Abstract | Let D, x be a free divisor germ in a complex manifold X of dimension
n > 2. It is an open problem to find out which are the properties required
for D, x to satisfy the so-called Logarithmic Comparison Theorem (LCT), ... Let D, x be a free divisor germ in a complex manifold X of dimension n > 2. It is an open problem to find out which are the properties required for D, x to satisfy the so-called Logarithmic Comparison Theorem (LCT), that is, when the complex of logarithmic differential forms computes the cohomology of the complement of D, x. We give a family of Euler homogeneous free divisors which, somewhat unexpectedly, does not satisfy the LCT. |
Funding agencies | Ministerio de Ciencia Y Tecnología (MCYT). España Junta de Andalucía |
Project ID. | BFM-2001-3164
![]() FQM-333 ![]() |
Citation | Castro Jiménez, F.J. y Ucha Enríquez, J.M. (2005). Logarithmic Comparison Theorem and some Euler homogeneous free divisors. Proceedings of the American Mathematical Society, 133 (5), 1417-1422. |
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