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dc.creatorAntei, Marco
dc.creatorCalvo Monge, Jimmy José
dc.date.accessioned2021-11-03T19:57:31Z
dc.date.available2021-11-03T19:57:31Z
dc.date.issued2020
dc.identifier.urihttps://hdl.handle.net/10669/85047
dc.descriptionArticulo aceptado por publicacion en los "Anneles de Fourier" (Université de Grenoble, Francia)es_ES
dc.description.abstractLet R be a discrete valuation ring with fraction field K. Let X be a proper and faithfully flat R-scheme, endowed with a section x∈X(R), with connected and reduced generic fibre Xη. Let f:Y→Xη be a finite Nori-reduced G-torsor. In this paper we provide a useful criterion to extend f:Y→Xη to a torsor over X. Furthermore in the particular situation where R is a complete discrete valuation ring of residue characteristic p>0 and X→Spec(R) is smooth we apply our criterion to prove that the natural morphism ψ(p′):π(Xη,xη)(p′)→π(X,x)(p′)η between the prime-to-p fundamental group scheme of Xη and the generic fibre of the prime-to-p fundamental group scheme of X is an isomorphism. This generalizes a well known result for the étale fundamental group. The methods used are purely tannakian.es_ES
dc.language.isoenges_ES
dc.subjecttorsores_ES
dc.subjectvector bundlees_ES
dc.titleExtension of torsors and prime to p fundamental group schemees_ES
dc.typepreprint
dc.description.procedenceUCR::Vicerrectoría de Investigación::Unidades de Investigación::Ciencias Básicas::Centro de Investigaciones en Matemáticas Puras y Aplicadas (CIMPA)es_ES


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