Tsukuba Journal of Mathematics

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

Jiryo Komeda and Makiko Mase

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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

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

First available in Project Euclid: 25 October 2019

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Primary: 14H55: Riemann surfaces; Weierstrass points; gap sequences [See also 30Fxx]
Secondary: 14H50: Plane and space curves 14H30: Coverings, fundamental group [See also 14E20, 14F35] 20M14: Commutative semigroups

Weierstrass semigroup of a point K3 surface Weighted projective plane Numerical semigroup Double cover of a curve


Komeda, Jiryo; Mase, Makiko. Curves on weighted K3 surfaces of degree two with symmetric Weierstrass semigroups. Tsukuba J. Math. 43 (2019), no. 1, 55--69. doi:10.21099/tkbjm/1571968821. https://projecteuclid.org/euclid.tkbjm/1571968821

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