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arXiv · 2202.10853

2-adic point counting on $K3$ surfaces

Andreas-Stephan Elsenhans·Jörg Jahnel
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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 $2$-adic orthogonal group. Combining the new approach with a $p$-adic method, we count the number of points on some $K3$ surfaces over the field $\bbF_{\!p}$, for all primes $p < 10^8$.

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Andreas-Stephan Elsenhans, Jörg Jahnel. 2022-02-22. 2-adic point counting on $K3$ surfaces. https://arxiv.org/abs/2202.10853

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