Gauss sums and Van der Geer--Van der Vlugt curves

Author:

Daichi Takeuchi, Takahiro Tsushima

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Number Theory (math.NT)

journal:

date:

2023-05-09 16:00:00

Abstract

We study Van der Geer--Van der Vlugt curves in a ramification-theoretic view point. We give explicit formulae on L-polynomials of these curves. As a result, we show that these curves are supersingular and give sufficient conditions for these curves to be maximal or minimal.

PDF: Gauss sums and Van der Geer--Van der Vlugt curves.pdf