4 papers
Geometric realizability of epimorphisms to curve orbifold groups
José I. Cogolludo-AgustÃn, 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 co…
The fundamental group of the complement of a generic fiber-type curve
José I. Cogolludo-AgustÃn, 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…
On the topology of fiber-type curves: a Zariski pair of affine nodal curves
José Ignacio Cogolludo-AgustÃn, 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-AgustÃn, 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…