artículo científico
Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors
Fecha
2019Registro en:
1022-1824
1420-9020
10.1007/s00029-019-0449-z
820-B7-185
Autor
Antei, Marco
Biswas, Indranil
Emsalem, Michel
Tonini, Fabio
Zhang, Lei
Institución
Resumen
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.