Journal article
Automorphisms of Harbater-Katz-Gabber curves
Mathematische annalen, Vol.368(1-2), pp.811-836
09/07/2015
DOI: 10.1007/s00208-016-1490-2
Abstract
Math. Ann. 368 (2017), 811-836 Let k be a perfect field of characteristic p > 0, and let G be a finite group. We consider the pointed G-curves over k associated by Harbater, Katz, and Gabber to faithful actions of G on k[[t]] over k. We use such "HKG G-curves" to classify the automorphisms of k[[t]] of p-power order that can be expressed by particularly explicit formulas, namely those mapping t to a power series lying in a Z/pZ Artin-Schreier extension of k(t). In addition, we give necessary and sufficient criteria to decide when an HKG G-curve with an action of a larger finite group J is also an HKG J-curve.
Details
- Title: Subtitle
- Automorphisms of Harbater-Katz-Gabber curves
- Creators
- Frauke M BleherTed ChinburgBjorn PoonenPeter Symonds
- Resource Type
- Journal article
- Publication Details
- Mathematische annalen, Vol.368(1-2), pp.811-836
- DOI
- 10.1007/s00208-016-1490-2
- ISSN
- 0025-5831
- eISSN
- 1432-1807
- Grant note
- DOI: 10.13039/100000001, name: National Science Foundation, award: DMS-1265290, DMS-1360767; DOI: 10.13039/100000001, name: National Science Foundation, award: DMS-1360621; DOI: 10.13039/100000083, name: Directorate for Computer and Information Science and Engineering, award: CNS-15136718; DOI: 10.13039/100000893, name: Simons Foundation, award: 338379; DOI: 10.13039/100009226, name: National Security Agency, award: H98230-11-1-0131; DOI: 10.13039/100000893, name: Simons Foundation, award: Unknown; DOI: 10.13039/100000001, name: National Science Foundation, award: DMS-1601946
- Language
- English
- Date published
- 09/07/2015
- Academic Unit
- Mathematics
- Record Identifier
- 9983985935702771
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