Abstract
We study 3 basic questions about fundamental groups of algebraic varieties. For a morphism, is being surjective on π 1 preserved by base change? What is the connection between openness in the Zariski and in the Euclidean topologies? Which morphisms have the path lifting property?
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Acknowledgements
Partial financial support was provided by the NSF under grant numbers DMS-1362960 and DMS-1440140 while the author was in residence at MSRI during the Spring 2019 semester.
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Kollár, J. (2021). Fundamental Groups and Path Lifting for Algebraic Varieties. In: Fernández de Bobadilla, J., László, T., Stipsicz, A. (eds) Singularities and Their Interaction with Geometry and Low Dimensional Topology . Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-61958-9_6
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DOI: https://doi.org/10.1007/978-3-030-61958-9_6
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