An example of a Drinfeld module and its solitons

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An example of a Drinfeld module and its
solitons
Francisco Xavier Portillo Bobadilla
Universidad Autónoma de la Ciudad de México
April 21, 2016
We work with detail the Drinfeld module over the ring
A = F2 [x, y]/(y 2 + y = x3 + x + 1).
.
The example in question is one of the four examples that come from
quadratic imaginary fields with class number h = 1 and rank r = 1.
We develop specific formulas for this module to understand its implications to solitons. Our comparative reference is the Carlitz module in
C = Fq [T ] and the work on solitons developed by G. Anderson and D. Thakur
in the 90s.
This is a collaborative work in progress with the Number Theory Group
at the Universidad Autónoma de Yucatán.
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