Hyperplane arrangement theory is a very active area of research, combining ideas from
combinatorics, algebraic topology and algebraic geometry in a blend that is both tasty and …

We prove a structure theorem for differential operators in the 0-th term of the V-filtration
relative to a free divisor. manifold. As an application, we give a formula for the logarithmic de …

We find explicit free resolutions for the D-modules Df s and D [s] fs/D [s] f s+ 1, where f is a
reduced equation of a locally quasi-homogeneous free divisor. These results are based on …

Abstract Let Q∈ C [x1,..., xn] be a homogeneous polynomial of degree k> 0. We establish a
connection between the Bernstein–Sato polynomial bQ (s) and the degrees of the …

For a reduced hyperplane arrangement, we prove the analytic Twisted Logarithmic
Comparison Theorem, subject to mild combinatorial arithmetic conditions on the weights …

A complex hypersurface D in C n is a linear free divisor (LFD) if its module of logarithmic
vector fields has a global basis of linear vector fields. We classify all LFDs for n at most 4. By …

In this paper we prove that the Bernstein–Sato polynomial of any free divisor for which the D
[s]-module D [s] hs admits a Spencer logarithmic resolution satisfies the symmetry property b …

Let D, x be a plane curve germ. We prove that the complex Ω^∙(\logD)_x computes the
cohomology of the complement of D, x only if D is quasihomogeneous. This is a partial …

TJURINA AND MILNOR NUMBERS OF MATRIX SINGULARITIES Page 1 J. London Math.
Soc. (2) 72 (2005) 205–224 Cо2005 London Mathematical Society doi:10.1112/S0024610705006575 …

Dualité et comparaison pour les complexes de de Rham logarithmiques par rapport aux
diviseurs libres Page 1 ANNA L E S D E L’INSTITU T FO U RIER ANNALES DE L’INSTITUT …