dc.contributor.author | Saidi, M | |
dc.date.accessioned | 2019-02-28T13:14:07Z | |
dc.date.issued | 2012-12-01 | |
dc.description.abstract | In this paper we investigate the problem of lifting of Galois covers between algebraic curves from characteristic p > 0 to characteristic 0. We prove a
refined version of the main result of Garuti concerning this problem in [Ga]. We
formulate a refined version of the Oort conjecture on liftings of cyclic Galois covers
between curves. We introduce the notion of fake liftings of cyclic Galois covers between curves, their existence would contradict the Oort conjecture, and we study the
geometry of their semi-stable models. Finally, we introduce and investigate on some
examples the smoothening process, which ultimately aims to show that fake liftings
do not exist. This in turn would imply the Oort conjecture. | en_GB |
dc.identifier.citation | In: Galois–Teichmüller Theory and Arithmetic Geometry. Advanced Studies in Pure Mathematics: Volume 63, pp. 457 - 501 | en_GB |
dc.identifier.doi | 10.1142/e034 | |
dc.identifier.uri | http://hdl.handle.net/10871/36123 | |
dc.language.iso | en | en_GB |
dc.publisher | Mathematical Society of Japan / World Scientific Publishing Company | en_GB |
dc.rights | © 2012 Mathematical Society of Japan / World Scientific Publishing Company | en_GB |
dc.title | Fake liftings of Galois covers between smooth curves | en_GB |
dc.type | Book chapter | en_GB |
dc.date.available | 2019-02-28T13:14:07Z | |
dc.identifier.isbn | 978-4-86497-014-3 | |
dc.description | This is the author accepted manuscript. The final version is available from World Scientific Publishing Company via the DOI in this record | en_GB |
dc.rights.uri | http://www.rioxx.net/licenses/all-rights-reserved | en_GB |
dcterms.dateAccepted | 2012 | |
rioxxterms.version | AM | en_GB |
rioxxterms.licenseref.startdate | 2012-12-01 | |
rioxxterms.type | Book chapter | en_GB |
refterms.dateFCD | 2019-02-28T13:12:09Z | |
refterms.versionFCD | AM | |
refterms.dateFOA | 2019-02-28T13:14:11Z | |