Fundamental Groups and Path Lifting for Algebraic Varieties

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We study 3 basic questions about fundamental groups of algebraic varieties. For a morphism, is being surjective on π1 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?

Original languageEnglish (US)
Title of host publicationTrends in Mathematics
PublisherSpringer Science and Business Media Deutschland GmbH
Pages97-116
Number of pages20
DOIs
StatePublished - 2021

Publication series

NameTrends in Mathematics
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Algebraic varieties
  • Fundamental groups
  • Path lifting

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