The growth of the discriminant of the endomorphism ring of the reduction of a rank 2 generic Drinfeld module

DOI10.1016/j.jnt.2021.03.026OpenAlexW3170101748WikidataQ114157031 ScholiaQ114157031MaRDI QIDQ2127193

Alina Carmen Cojocaru, Mihran Papikian

Publication date: 20 April 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.09582

zbMATH Keywords

ordersendomorphism ringsDrinfeld modules

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Class numbers, class groups, discriminants (11R29) Distribution of prime ideals (11R44)

Related Items (1)

Obstructions to reciprocity laws related to division fields of Drinfeld modules

Cites Work

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• Zur Arithmetik von Drinfeld-Moduln
• On finite Drinfeld modules
• Torsion bounds for elliptic curves and Drinfeld modules
• Isogenies of Drinfeld modules over finite fields
• A class number relation over function fields
• On the field generated by the periods of a Drinfeld module
• Degree bounds for projective division fields associated to elliptic modules with a trivial endomorphism ring
• Endomorphism rings of reductions of Drinfeld modules
• Drinfeld Modules, Frobenius Endomorphisms, and CM-Liftings
• The Distribution of the First Elementary Divisor of the Reductions of a Generic Drinfeld Module of Arbitrary Rank
• ELLIPTIC MODULES

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