Gauss--Heilbronn Sums and Coverings of Deligne--Lusztig Type Curves
Authors
Tetsushi Ito, Daichi Takeuchi, Takahiro Tsushima
Abstract
We study exponential sums on Witt vectors, known as Gauss--Heilbronn sums, and the curves whose Frobenius traces realize these sums via a Deligne--Lusztig type construction. For 3-typical Witt vectors of length two, we analyze Gauss--Heilbronn sums, from which we fully determine the Frobenius slopes of the associated curves.
