Some results on finite drinfeld modules

Chih Nung Hsu

doi:10.1090/s0002-9939-98-04337-8

Some results on finite drinfeld modules

Chih Nung Hsu^*

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

1 引文斯高帕斯（Scopus）

摘要

Let K be a global function field, oo a degree one prime divisor of K and let A be the Dedekind domain of functions in K regular outside oo. Let H be the Hubert class field of A, B the integral closure of A in H. Let V be a rank one normalized Drinfeld A -module and let β be a prime ideal in B. We explicitly determine the finite A-moduIe structure of Ψ(B/β^N). In particular, if K = F_q(t), q is an odd prime number and Ψ is the Carlitz F_q[t]-module, then the finite F_q[t]-module Ψ(F_q[t]/β^N) is always cyclic.

原文	英語
頁（從 - 到）	1955-1961
頁數	7
期刊	Proceedings of the American Mathematical Society
卷	126
發行號	7
DOIs	https://doi.org/10.1090/s0002-9939-98-04337-8
出版狀態	已發佈 - 1998

ASJC Scopus subject areas

一般數學
應用數學

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10.1090/s0002-9939-98-04337-8

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title = "Some results on finite drinfeld modules",

abstract = "Let K be a global function field, oo a degree one prime divisor of K and let A be the Dedekind domain of functions in K regular outside oo. Let H be the Hubert class field of A, B the integral closure of A in H. Let V be a rank one normalized Drinfeld A -module and let β be a prime ideal in B. We explicitly determine the finite A-moduIe structure of Ψ(B/βN). In particular, if K = Fq(t), q is an odd prime number and Ψ is the Carlitz Fq[t]-module, then the finite Fq[t]-module Ψ(Fq[t]/βN) is always cyclic.",

keywords = "Drinfeld modules, Hubert class field",

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year = "1998",

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T1 - Some results on finite drinfeld modules

AU - Hsu, Chih Nung

PY - 1998

Y1 - 1998

N2 - Let K be a global function field, oo a degree one prime divisor of K and let A be the Dedekind domain of functions in K regular outside oo. Let H be the Hubert class field of A, B the integral closure of A in H. Let V be a rank one normalized Drinfeld A -module and let β be a prime ideal in B. We explicitly determine the finite A-moduIe structure of Ψ(B/βN). In particular, if K = Fq(t), q is an odd prime number and Ψ is the Carlitz Fq[t]-module, then the finite Fq[t]-module Ψ(Fq[t]/βN) is always cyclic.

AB - Let K be a global function field, oo a degree one prime divisor of K and let A be the Dedekind domain of functions in K regular outside oo. Let H be the Hubert class field of A, B the integral closure of A in H. Let V be a rank one normalized Drinfeld A -module and let β be a prime ideal in B. We explicitly determine the finite A-moduIe structure of Ψ(B/βN). In particular, if K = Fq(t), q is an odd prime number and Ψ is the Carlitz Fq[t]-module, then the finite Fq[t]-module Ψ(Fq[t]/βN) is always cyclic.

KW - Drinfeld modules

KW - Hubert class field

UR - https://www.scopus.com/pages/publications/22044452144

UR - https://www.scopus.com/pages/publications/22044452144#tab=citedBy

U2 - 10.1090/s0002-9939-98-04337-8

DO - 10.1090/s0002-9939-98-04337-8

M3 - Article

AN - SCOPUS:22044452144

SN - 0002-9939

VL - 126

SP - 1955

EP - 1961

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 7

ER -

Some results on finite drinfeld modules

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