On the singular Drinfeld modules of rank 2
type: Item
instance of: scholarly article
title: On the singular Drinfeld modules of rank 2
zbMATH Open document ID: 0765.11027
DOI: 10.1007/BF02571797
author: Sunghan Bae
author: Ja Kyung Koo
published in: Mathematische Zeitschrift
publication date: 1993-03-03T00:00:00Z
full work available at URL: https://eudml.org/doc/174402
review text: The theory of Drinfeld modules of rank 2 is extremely similar to that of elliptic curves. So, for instance, as one can reduce an elliptic curve over a number field modulo primes of that number field, so one can also reduce Drinfeld modules modulo primes of global function fields. In particular, one then obtains Drinfeld modules over ``finite fields''. Thus, one can then discuss ``singular'' and ``supersingular'' Drinfeld modules. In the paper under review, the authors use these concepts to establish analogs of the classical results of Deuring.
Mathematics Subject Classification ID: 11G09
Mathematics Subject Classification ID: 11R58
zbMATH DE Number: 126384
zbMATH Keywords: singular Drinfeld modules
zbMATH Keywords: supersingular Drinfeld module
zbMATH Keywords: finite fields
zbMATH Keywords: Drinfeld modules of rank 2
reviewed by: David Goss
MaRDI profile type: Publication
cites work: Zur Arithmetik von Drinfeld-Moduln
cites work: Q5625265
OpenAlex ID: W1971940813
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description: scientific article; zbMATH DE number 126384