On the Eisenstein ideal over function fields

Mihran Papikian, Fu Tsun Wei

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We study the Eisenstein ideal of Drinfeld modular curves of small levels, and the relation of the Eisenstein ideal to the cuspidal divisor group and the component groups of Jacobians of Drinfeld modular curves. We prove that the characteristic of the function field is an Eisenstein prime number when the level is an arbitrary non-square-free ideal of Fq[T] not equal to a square of a prime.

Original languageEnglish (US)
Pages (from-to)384-434
Number of pages51
JournalJournal of Number Theory
Volume161
DOIs
StatePublished - Oct 7 2014

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Function Fields
Modular Curves
Prime number
Divisor
Arbitrary

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

Papikian, Mihran ; Wei, Fu Tsun. / On the Eisenstein ideal over function fields. In: Journal of Number Theory. 2014 ; Vol. 161. pp. 384-434.
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On the Eisenstein ideal over function fields. / Papikian, Mihran; Wei, Fu Tsun.

In: Journal of Number Theory, Vol. 161, 07.10.2014, p. 384-434.

Research output: Contribution to journalArticle

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