Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors

Antei, Marco; Biswas, Indranil; Emsalem, Michel; Tonini, Fabio; Zhang, Lei

doi:https://doi.org/10.1007/s00029-019-0449-z

Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors

dc.creator	Antei, Marco
dc.creator	Biswas, Indranil
dc.creator	Emsalem, Michel
dc.creator	Tonini, Fabio
dc.creator	Zhang, Lei
dc.date.accessioned	2021-11-25T20:58:30Z
dc.date.available	2019-11-14T15:00:58Z
dc.date.available	2021-11-25T20:58:30Z
dc.date.issued	2019
dc.date.updated	2019-11-13T16:14:06Z
dc.description.abstract	We prove the existence of a Galois closure for towers of torsors under finite group schemes over a proper, geometrically connected and geometrically reduced algebraic stack X over a field k. This is done by describing the Nori fundamental gerbe of an essentially finite cover of X. A similar result is also obtained for the S -fundamental gerbe.	es
dc.description.procedence	UCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemática	es
dc.description.procedence	UCR::Vicerrectoría de Investigación::Unidades de Investigación::Ciencias Básicas::Centro de Investigaciones en Matemáticas Puras y Aplicadas (CIMPA)	es
dc.description.sponsorship	University of Hong Kong/[4053343]/HKU/China	es
dc.description.sponsorship	Labex CEMPI/[ANR-11-LABX-01]/CEMPI/Francia	es
dc.identifier.citation	https://link.springer.com/article/10.1007/s00029-019-0449-z
dc.identifier.codproyecto	820-B7185
dc.identifier.doi	https://doi.org/10.1007/s00029-019-0449-z
dc.identifier.issn	1022-1824
dc.identifier.issn	1420-9020
dc.identifier.uri	https://hdl.handle.net/10669/79845.2
dc.language.iso	eng
dc.relation.ispartof
dc.rights	acceso embargado
dc.source	Selecta Mathematica, vol.25(18), pp.1-37	es
dc.subject	Nori fundamental gerbe	es
dc.subject	Essentially finite bundle	es
dc.subject	Essentially finite cover	es
dc.subject	Algebraic stack	es
dc.title	Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors	es
dc.type	artículo original