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

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Sergey Galkin, Sergey Rybakov

Published: 01 Jan 2019, Last Modified: 18 Sept 2025CoRR 2019EveryoneRevisionsBibTeXCC BY-SA 4.0
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 $p=3$.