The pseudo-fundamental group scheme

 

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Autori: Antei, Marco, Dey, Arijit
Natura: artículo original
Data di pubblicazione:2019
Descrizione:Let X be any scheme defined over a Dedekind scheme S with a given section x ∈ X (S). We prove the existence of a pro-finite S-group scheme א (X,x) and a universal א (X,x)-torsor dominating all the pro-finite pointed torsors over X. Though א (X,x) may not be unique in general it still can provide useful information in order to better understand X. In a similar way we prove the existence of a pro-algebraic S-group scheme א alg(X,x) and a א alg(X,x)-torsor dominating all the pro-algebraic and affine pointed torsors over X.The case where X→S has no sections is also considered.
Stato:Kérwá
Istituzione:Universidad de Costa Rica
Repositorio:Kérwá
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/79836
Accesso online:https://hdl.handle.net/10669/79836
Keyword:Fundamental group scheme
Torsors