3 citations · 8 across the 11 of their papers we have counts for
15 papers
The fundamental group of the complement of a generic fiber-type curve
José I. Cogolludo-Agustín, Eva Elduque
In this paper we describe and characterize the fundamental group of the complement to generic fiber-type curves, i.e. unions of (the closure of) finitely many generic fibers of a c…
Geometric realizability of epimorphisms to curve orbifold groups
José I. Cogolludo-Agustín, Eva Elduque
Given a connected dense Zariski open set of a compact Kähler manifold , we address the general problem of the existence of surjective holomorphic maps to smooth com…
Compatibility of Hodge Theory on Alexander Modules
Eva Elduque, Moisés Herradón Cueto
Let be a smooth connected complex algebraic variety, and let be an algebraic map. To the pair one can associate an infinite cyclic cover $U^f…
Hodge Theory of Abelian Covers
Eva Elduque, Moisés Herradón Cueto
Motivated by classical Alexander invariants of affine hypersurface complements, we endow certain finite dimensional quotients of the homology of abelian covers of complex algebraic…
On the topology of fiber-type curves: a Zariski pair of affine nodal curves
José Ignacio Cogolludo-Agustín, Eva Elduque
In this paper we explore conditions for a curve in a smooth projective surface to have a free product of cyclic groups as the fundamental group of its complement. It is known that…
Quasi-projective varieties whose fundamental group is a free product of cyclic groups
José Ignacio Cogolludo-Agustín, Eva Elduque
In this work we study smooth complex quasi-projective surfaces whose fundamental group is a free product of cyclic groups. In particular, we prove the existence of an admissible ma…