Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors
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Date
2019Author
Antei, Marco
Biswas, Indranil
Emsalem, Michel
Tonini, Fabio
Zhang, Lei
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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.
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10.1007/s00029-019-0449-zCollections
- Matemática [232]