Fundamental Groups and Path Lifting for Algebraic Varieties
@article{Kollar2021FundamentalGA, title={Fundamental Groups and Path Lifting for Algebraic Varieties}, author={J'anos Koll'ar}, journal={Trends in Mathematics}, year={2021} }
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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