algebraic fundamental group
Word Rarity
Rare
Frequency: 3.16 in modern English
39
Scrabble Score
25
Letters
8
Syllables
16
Unique Chars
Meaning
noun
A group which is an analogue for schemes of the fundamental group for topological spaces.
Example Sentences
- "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, London Mathematical Society, page 78, 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 (Serre)."
- "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 version of the same paper."
- "In order to work in arbitrary characteristic, we should use the algebraic fundamental group, which we denote by #92;pi#95;1. (A very good introduction to algebraic fundamental groups is [24].[…])"
Inflected Forms
Phrases
fundamental group
geometric fundamental group
orbifold fundamental group
topological fundamental group
Frequently Paired Words
fundamental group
geometric fundamental group
orbifold fundamental group
topological fundamental group
Synonyms
étale fundamental group