## Tsukuba Journal of Mathematics

### Curves on weighted K3 surfaces of degree two with symmetric Weierstrass semigroups

#### Abstract

Let $C$ be a curve on the weighted projective plane $\mathbf{P}(1, 1, 4)$ which is of Fermat type or almost Fermat type. We construct K3 surfaces which are double covers of $\mathbf{P}(1, 1, 4)$ and which contain pointed curves with symmetric Weierstrass semigroups which are double covers of $C$.

#### Article information

Source
Tsukuba J. Math., Volume 43, Number 1 (2019), 55-69.

Dates
First available in Project Euclid: 25 October 2019