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math.AG2025
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…
math.AG2025
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…