Lifting of supersingular points on $X_{0}$ $(p^{r}$) and lower bound of ramification index

Content Provider	Scilit
Author	Momose, Fumiyuki Shimura, Mahoro
Copyright Year	2002
Description	Let K be a finite extension of (= the maximal unramified extension of $Q_{p}$) of degree $e_{K}$, its integer ring, p a rational prime and r a positive integer. If there exists a one parameter formal group defined over whose reduction is of height 2 with a cyclic subgroup V of order $p^{r}$ defined over , then .We apply this result to a criterion for non-existence of Q-rational point of . (This criterion is Momose’s theorem in [14] except for the cases p = 5 and p = 13, but our new proof does not require defining equations of modular curves except for the case p = 2.)
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/9D0DDE6FC0D549843FD4091C51584A98/S0027763000008199a.pdf/div-class-title-lifting-of-supersingular-points-on-span-class-italic-x-span-span-class-sub-0-span-span-class-italic-p-span-class-sup-r-span-span-and-lower-bound-of-ramification-index-div.pdf
Ending Page	178
Page Count	20
Starting Page	159
ISSN	00277630
e-ISSN	21526842
DOI	10.1017/s0027763000008199
Journal	Nagoya Mathematical Journal
Volume Number	165
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2002-03-01
Access Restriction	Open
Subject Keyword	Nagoya Mathematical Journal
Content Type	Text
Resource Type	Article
Subject	Mathematics