9 citations · 10 across the 7 of their papers we have counts for
16 papers
Regular Functions Transversal at Infinity
Alexandru Dimca, Anatoly Libgober
We generalize and complete some of Maxim's recent results on Alexander invariants of a polynomial transversal to the hyperplane at infinity. Roughly speaking, and surprisingly, suc…
A generalization of Griffiths' theorem on rational integrals
Alexandru Dimca, Morihiko Saito
We generalize Griffiths' theorem on the Hodge filtration of the primitive cohomology of a smooth projective hypersurface, using the local Bernstein-Sato polynomials, the V-filtrati…
Alexander Invariants and Transversality
A. Dimca
We show that some of the main results in Laurentiu Maxim's paper on this subject can be obtained (even in a slightly more general setting) using the theory of perverse sheaves of f…
Some consequences of perversity of vanishing cycles
Alexandru Dimca, Morihiko Saito
For a holomorphic function on a complex manifold, we show that the vanishing cohomology of lower degree at a point is determined by that for the points near it, using the perversit…
Local topology of reducible divisors
Alexandru Dimca, Anatoly Libgober
We show that the universal abelian cover of the complement to a germ of a reducible divisor on a complex space with isolated singularity is -connected provided that t…
Hyperplane arrangements, M-tame polynomials and twisted cohomology
A. Dimca
A new relation between a class of complex polynomials with a good behavior at infinity studied by A. Némethi and A. Zaharia and the cohomology groups of affine complex hyperplane a…