Fundamental groups and path lifting for algebraic varieties

János Kollár

Fundamental groups and path lifting for algebraic varieties

Algebraic Geometry 2019-06-28 v1 Geometric Topology

Authors: János Kollár

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?

Keywords

toric varieties algebraic geometry

Cite

@article{arxiv.1906.11816,
  title  = {Fundamental groups and path lifting for algebraic varieties},
  author = {János Kollár},
  journal= {arXiv preprint arXiv:1906.11816},
  year   = {2019}
}

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