Drinfeld Modules, Frobenius Endomorphisms, and CM-Liftings

Alina Carmen Cojocaru, Mihran Papikian

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

We give a global description of the Frobenius elements in the division fields of Drinfeld modules of rank 2. We apply this description to derive a criterion for the splitting modulo primes of a class of nonsolvable polynomials, and to study the frequency with which the reductions of Drinfeld modules have small endomorphism rings. We also generalize some of these results to higher rank Drinfeld modules and prove CM-lifting theorems for Drinfeld modules.

Original languageEnglish (US)
Pages (from-to)7787-7825
Number of pages39
JournalInternational Mathematics Research Notices
Volume2015
Issue number17
DOIs
StatePublished - Jan 1 2015

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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