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ID 62797
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Author
Nagamachi, Ippei Research Institute for Mathematical Sciences, Kyoto University
Abstract
We give good reduction criteria for hyperbolic polycurves, i.e., successive extensions of families of curves, under some assumptions. These criteria are higher dimensional versions of the good reduction criterion for hyperbolic curves given by Oda and Tamagawa.
Keywords
good reduction,
hyperbolic curve,
polyucurve,
ètale fundamental group.
Note
Mathematics Subject Classification. Primary 14H30; Secondary 14G20.
Published Date
2022-01
Publication Title
Mathematical Journal of Okayama University
Volume
volume64
Issue
issue1
Publisher
Department of Mathematics, Faculty of Science, Okayama University
Start Page
75
End Page
107
ISSN
0030-1566
NCID
AA00723502
Content Type
Journal Article
language
English
Copyright Holders
Copyright ©2022 by the Editorial Board of Mathematical Journal of Okayama University
File Version
publisher
Refereed
True
Submission Path
mjou/vol64/iss1/6