The pseudo-fundamental group scheme
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Autores: | , |
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Formato: | artículo original |
Fecha de Publicación: | 2019 |
Descripción: | 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. |
País: | Kérwá |
Institución: | Universidad de Costa Rica |
Repositorio: | Kérwá |
OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/79836 |
Acceso en línea: | https://hdl.handle.net/10669/79836 |
Palabra clave: | Fundamental group scheme Torsors |