6 citations · 9 across the 6 of their papers we have counts for
6 papers
Free quotients of fundamental groups of smooth quasi-projective varieties
Jose Ignacio Cogolludo, Anatoly Libgober
We consider the structure of classes of curves on a projective simply connected surface for which fundamental groups of the complements admit free quotients having rank greater tha…
Twisted Alexander polynomials of Plane Algebraic Curves
Jose Ignacio Cogolludo, Vincent Florens
We consider the Alexander polynomial of a plane algebraic curve twisted by a linear representation. We show that it divides the product of the polynomials of the singularity links,…
Pencils and Infinite Dihedral covers of P^2
E. Artal Bartolo, Jose Ignacio Cogolludo, Hiro-o Tokunaga
In this work we study the connection between the existence of finite dihedral covers of the projective plane ramified along an algebraic curve C, infinite dihedral covers, and penc…
Nodal degenerations of plane curves and Galois covers
E. Artal, J. I. Cogolludo, H. Tokunaga
Globally irreducible nodes (i.e. nodes whose branches belong to the same irreducible component) have mild effects on the most common topological invariants of an algebraic curve. I…
Effective invariants of braid monodromy and topology of plane curves
Enrique Artal, Jorge Carmona, Jose Ignacio Cogolludo
In this paper we construct effective invariants for braid monodromy of affine curves. We also prove that, for some curves, braid monodromy determines their topology. We apply this…
Fundamental Group for some Cuspidal Curves
Jose Ignacio Cogolludo
We construct a family of plane curves as pull-backs of a conic for abelian coverings of P^2. If the conic is tangent to the ramification lines one obtains a family of curves of deg…