In this note, we prove the finiteness of an isogeny class of Drinfeld A-modules over a finite extension of the fraction field of A. This contradicts Remark (3.4(ii-1)) of my previous paper [4]. This is because Proposition (3.1) is wrong, on which Section 3 of that paper was based (the wrong point is
Isogenies of Drinfeld Modules over Finite Fields
✍ Scribed by J.K. Yu
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 415 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
✦ Synopsis
We classify isogeny classes of Drinfeld modules over a finite field in terms of Weil numbers. A precise result on isomorphism classes in an isogeny class is given for rank (2 \mathbf{F}_{r}[T])-modules. 1995 Academic Press. Inc.
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This paper was written at the University of Massachusetts at Amherst. We thank the working seminar on Shimura varieties there for patiently listening to us as we worked through these results. Our thanks also go to R. Schoof for his encouragement and suggestions, as well as to our anonymous (but inva
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Conditions for a finite rank module over an almost maximal valuation domain to be a direct sum of uniserials are developed.
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