Word.ws English Dictionary

algebraic fundamental group

algebraic fundamental group noun: a group which is an analogue for schemes of the fundamental group for topological spaces.

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...
    • Neves and Papadakis ([NP09]) constructed a numerical Campedelli surface with algebraic fundamental group #92;mathbbZ#95;6, while Lee and Park ([LP09]) constructed one with algebraic fundamental group #92;mathbbZ#95;2, and one with algebraic fundamental group #92;mathbbZ#95;3 was added in the second...2011, Ingrid Bauer, Fabrizio Catanese, Roberto Pignatelli, “Surfaces of general type with geometric genus zero: a survey”, in Wolfgang Ebeling, Klaus Hulek, Knut Smoczyk, editors, Complex and...
    Synonyms:
    étale fundamental group

Synonyms of algebraic fundamental group

  • étale fundamental group

Forms of algebraic fundamental group

pluralalgebraic fundamental groups

Questions about algebraic fundamental group

What does algebraic fundamental group mean?
Algebraic fundamental group means a group which is an analogue for schemes of the fundamental group for topological spaces.
What part of speech is algebraic fundamental group?
Algebraic fundamental group is a noun.
What is the plural of algebraic fundamental group?
The plural of algebraic fundamental group is algebraic fundamental groups.

Words near algebraic fundamental group in the dictionary

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

Source and license

Adapted from Wiktionary: 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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