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algebraic fundamental groups

algebraic fundamental groups is the plural of algebraic fundamental group.

Meaning of algebraic fundamental group

Noun

algebraic fundamental group (plural algebraic fundamental groups)

  1. A group which is an analogue for schemes of the fundamental group for topological spaces.
    • Serre constructed an example of an algebraic variety X over a number field K plus two embeddings of K into ℂ such that the geometric fundamental groups of X_1( ℂ) and X_2( ℂ) are not isomorphic, while the algebraic fundamental groups (i.e. their profinite completions) clearly are isomorphic, see...1997, Frans Oort, The Algebraic Fundamental Group, Leila Schneps, Pierre Lochak (editors), Geometric Galois Actions 1: Around Grothendieck's Esquisse D'un Programme, Cambridge University Press...
    Synonyms:
    étale fundamental group

Questions about algebraic fundamental groups

What is algebraic fundamental groups the plural of?
Algebraic fundamental groups is the plural of algebraic fundamental group.

Words near algebraic fundamental groups in the dictionary

  1. algebraic extension
  2. algebraic extensions
  3. algebraic function
  4. algebraic functions
  5. algebraic fundamental group
  6. algebraic fundamental groups
  7. algebraic geometer
  8. algebraic geometers
  9. algebraic geometries
  10. algebraic geometry
  11. algebraic graph theories

Source and license

Adapted from Wiktionary: algebraic fundamental groups (page history and authors); algebraic fundamental group (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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