3 citations · 6 across the 4 of their papers we have counts for
8 papers
Non vanishing loci of Hodge numbers of local systems
A. Libgober
We show that closures of families of unitary local systems on quasiprojective varieties for which the dimension of a graded component of Hodge filtration has a constant value can b…
Lectures on topology of complements and fundamental groups
A. Libgober
This is an introduction to topology of complement to plane curves and hypersurfaces in the projective space and is based on the lectures given in Lumini in February and in ICTP (Tr…
Homotopy groups of complements to ample divisors
A. Libgober
We study the homotopy groups of complements to reducible divisors on non-singular projective varieties with ample components and isolated non normal crossings. We prove a vanishing…
Isolated non-normal crossings
A. Libgober
We describe a multivariable polynomial invariant for certain class of non isolated hypersurface singularities generalizing the characteristic polynomial on monodromy. The starting…
Eigenvalues for the monodromy of the Milnor fibers of arrangements
A. Libgober
We decribe upper bounds for the orders of the eigenvalues of the monodromy of Milnor fibers of arrangements given in terms of combinatorics.
Hodge decomposition of Alexander invariants
A. Libgober
Multivariable Alexander invariants of algebraic links calculated in terms of algebro-geometric invariants (polytopes and ideals of quasiadjunction). The relations with log-canonica…