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July 2019 Curves on weighted K3 surfaces of degree two with symmetric Weierstrass semigroups
Jiryo Komeda, Makiko Mase
Tsukuba J. Math. 43(1): 55-69 (July 2019). DOI: 10.21099/tkbjm/1571968821

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 $C$.

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Jiryo Komeda. Makiko Mase. "Curves on weighted K3 surfaces of degree two with symmetric Weierstrass semigroups." Tsukuba J. Math. 43 (1) 55 - 69, July 2019. https://doi.org/10.21099/tkbjm/1571968821

Information

Published: July 2019
First available in Project Euclid: 25 October 2019

zbMATH: 07196525
MathSciNet: MR4023314
Digital Object Identifier: 10.21099/tkbjm/1571968821

Subjects:
Primary: 14H55
Secondary: 14H30, 14H50, 20M14

Rights: Copyright © 2019 University of Tsukuba, Institute of Mathematics

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Vol.43 • No. 1 • July 2019
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