Fundamental Groups and Path Lifting for Algebraic Varieties

  title={Fundamental Groups and Path Lifting for Algebraic Varieties},
  author={J'anos Koll'ar},
  journal={Trends in Mathematics},
  • J. Koll'ar
  • Published 27 June 2019
  • Mathematics
  • Trends in Mathematics
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? 
3 Citations
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