| ID | 56324 |
| FullText URL | |
| Author |
Yang, Yu
Research Institute for Mathematical Sciences Kyoto University
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| 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.
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| Keywords | stable curve
stable covering
vertical point
admissible covering
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| Note | Mathematics Subject Classification. Primary 14H30; Secondary 11G20.
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| Published Date | 2019-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume61
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| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 1
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| End Page | 18
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Copyright©2019 by the Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol59/iss1/1
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