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arXiv · 1904.00969

Free quotients of fundamental groups of smooth quasi-projective varieties

Jose Ignacio Cogolludo·Anatoly Libgober
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Abstract

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 than one with irreducible components belonging to a selected subset the effective cone of the surface. In particular we show a finiteness result for such classes if the ranks of free quotients of the fundamental groups with components in the subset of effective cone are sufficiently large.

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Jose Ignacio Cogolludo, Anatoly Libgober. 2019-04-01. Free quotients of fundamental groups of smooth quasi-projective varieties. https://arxiv.org/abs/1904.00969

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