𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Lifting endomorphisms of formal A-modules over finite fields

✍ Scribed by Hua-Chieh Li

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
159 KB
Volume
123
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.

✦ Synopsis

Lubin conjectures that for an invertible series to commute with a noninvertible series with only simple roots of iterates, two such commuting power series must be endomorphisms of a single formal group. In this paper, we show that if the reduction of these two commuting power series are endomorphisms of a formal group, then themselves are endomorphisms of a formal group.

πŸ“œ SIMILAR VOLUMES

Isogenies of Drinfeld Modules over Finit
Isogenies of Drinfeld Modules over Finite Fields
✍ J.K. Yu πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 415 KB

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.