ID | 56324 |
FullText URL | |
Author |
Yang, Yu
Research Institute for Mathematical Sciences Kyoto University
|
Abstract | Let R be a complete discrete valuation ring with algebraically residue field of characteristic p > 0 and X a stable curve over R. In the present paper, we study the geometry of coverings of X. Under certain assumptions, we prove that, by replacing R by a finite extension of R, there exists a morphism of stable curves f : Y → X over R such that the morphism fη : Yη → Xη induced by f on generic fibers is finite étale and the morphism fs : Ys → Xs induced by f on special fibers is non-finite.
|
Keywords | stable curve
stable covering
vertical point
admissible covering
|
Note | Mathematics Subject Classification. Primary 14H30; Secondary 11G20.
|
Published Date | 2019-01
|
Publication Title |
Mathematical Journal of Okayama University
|
Volume | volume61
|
Issue | issue1
|
Publisher | Department of Mathematics, Faculty of Science, Okayama University
|
Start Page | 1
|
End Page | 18
|
ISSN | 0030-1566
|
NCID | AA00723502
|
Content Type |
Journal Article
|
language |
English
|
Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University
|
File Version | publisher
|
Refereed |
True
|
Submission Path | mjou/vol59/iss1/1
|