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arXiv · 1906.11816

Fundamental groups and path lifting for algebraic varieties

János Kollár
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Abstract

We study 3 basic questions about fundamental groups of algebraic varieties. For a morphism, is being surjective on $\pi_1$ 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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János Kollár. 2019-06-27. Fundamental groups and path lifting for algebraic varieties. https://arxiv.org/abs/1906.11816

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