2-adic point counting on $K3$ surfaces
Number Theory
2022-07-01 v2 Algebraic Geometry
Abstract
This article reports on an approach to point counting on algebraic varieties over finite fields that is based on a detailed investigation of the -adic orthogonal group. Combining the new approach with a -adic method, we count the number of points on some surfaces over the field , for all primes .
Keywords
Cite
@article{arxiv.2202.10853,
title = {2-adic point counting on $K3$ surfaces},
author = {Andreas-Stephan Elsenhans and Jörg Jahnel},
journal= {arXiv preprint arXiv:2202.10853},
year = {2022}
}