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Degrees of the norm and trace of the j-invariant of Drinfeld modules associated to hyperelliptic curves
Abstract
Rank one Drinfeld modules are the analogue of elliptic curves with complex multiplication. The study of Drinfeld modules associated with hyperelliptic curves corresponds to the study of imaginary quadratic function fields. In this thesis, we give explicit formulas for the degree of the norm and trace of the j-invariant of the Drinfeld modules associated with hyperelliptic curves, prove results about the average values of the class group and compute several examples.
Subject Area
Mathematics
Recommended Citation
Chen, Zesen, "Degrees of the norm and trace of the j-invariant of Drinfeld modules associated to hyperelliptic curves" (1996). Doctoral Dissertations Available from Proquest. AAI9638943.
https://scholarworks.umass.edu/dissertations/AAI9638943