Gauss sums and Van der Geer--Van der Vlugt curves
Algebraic Geometry
2024-03-06 v1 Number Theory
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.
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Cite
@article{arxiv.2305.06117,
title = {Gauss sums and Van der Geer--Van der Vlugt curves},
author = {Daichi Takeuchi and Takahiro Tsushima},
journal= {arXiv preprint arXiv:2305.06117},
year = {2024}
}
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12 pages