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arXiv · 1910.14379

A family of K3 surfaces and towers of algebraic curves over finite fields

Sergey Galkin·Sergey Rybakov
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Abstract

For a family of K3 surfaces we implement a variation of a general construction of towers of algebraic curves over finite fields given in a previous paper. As a result we get a good tower over $k=\mathbb{F}_{p^2}$, that is optimal if $p=3$.

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Sergey Galkin, Sergey Rybakov. 2019-10-31. A family of K3 surfaces and towers of algebraic curves over finite fields. https://doi.org/10.1134/s0001434619110385

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