RAMIFIED GALOIS COVERS VIA MONOIDAL FUNCTORS

RAMIFIED GALOIS COVERS VIA MONOIDAL FUNCTORS We interpret Galois covers in terms of particular monoidal functors, extending the correspondence between torsors and fiber functors. As applications we characterize tame G-covers between normal varieties for finite and étale group schemes and we prove that, if G is a finite, flat and finitely presented nonabelian and linearly reductive group scheme over a ring, then the moduli stack of G-covers is reducible. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Transformation Groups Springer Journals

RAMIFIED GALOIS COVERS VIA MONOIDAL FUNCTORS

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Publisher
Springer Journals
Copyright
Copyright © 2016 by Springer Science+Business Media New York
Subject
Mathematics; Topological Groups, Lie Groups; Algebra
ISSN
1083-4362
eISSN
1531-586X
D.O.I.
10.1007/s00031-016-9395-4
Publisher site
See Article on Publisher Site

Abstract

We interpret Galois covers in terms of particular monoidal functors, extending the correspondence between torsors and fiber functors. As applications we characterize tame G-covers between normal varieties for finite and étale group schemes and we prove that, if G is a finite, flat and finitely presented nonabelian and linearly reductive group scheme over a ring, then the moduli stack of G-covers is reducible.

Journal

Transformation GroupsSpringer Journals

Published: Jun 23, 2016

References

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