Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이윤진 | * |
dc.date.accessioned | 2019-05-24T16:30:05Z | - |
dc.date.available | 2019-05-24T16:30:05Z | - |
dc.date.issued | 2019 | * |
dc.identifier.issn | 0027-7630 | * |
dc.identifier.issn | 2152-6842 | * |
dc.identifier.other | OAK-24791 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/249839 | - |
dc.description.abstract | Let K = F-q (T) and A = F-q [T]. Suppose that phi is a Drinfeld A module of rank 2 over K which does not have complex multiplication. We obtain an explicit upper bound (dependent on phi) on the degree of primes} of K such that the image of the Galois representation on the} - torsion points of phi is not surjective, in the case of q odd. Our results are a Drinfeld module analogue of Serre's explicit large image results for the Galois representations on p - torsion points of elliptic curves (Serre, Proprietes galoisiennes des points d'ordre fi ni des courbes elliptiques, Invent. Math. 15 (1972), 259{331; Serre, Quelques applications du theoreme de densite de Chebotarev, Inst. Hautes Etudes Sci. Publ. Math. 54 (1981), 323{401.) and are unconditional because the generalized Riemann hypothesis for function fi elds holds. An explicit isogeny theorem for Drinfeld A - modules of rank 2 over K is also proven. | * |
dc.language | English | * |
dc.publisher | CAMBRIDGE UNIV PRESS | * |
dc.title | EXPLICIT SURJECTIVITY RESULTS FOR DRINFELD MODULES OF RANK 2 | * |
dc.type | Article | * |
dc.relation.volume | 234 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 17 | * |
dc.relation.lastpage | 45 | * |
dc.relation.journaltitle | NAGOYA MATHEMATICAL JOURNAL | * |
dc.identifier.doi | 10.1017/nmj.2017.26 | * |
dc.identifier.wosid | WOS:000466750500002 | * |
dc.identifier.scopusid | 2-s2.0-85064839712 | * |
dc.author.google | Chen, Imin | * |
dc.author.google | Lee, Yoonjin | * |
dc.contributor.scopusid | 이윤진(23100337700) | * |
dc.date.modifydate | 20240123113558 | * |