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. 1
