Tsukuba Journal of Mathematics

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

Jiryo Komeda and Makiko Mase

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

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

Permanent link to this document
https://projecteuclid.org/euclid.tkbjm/1571968821

Digital Object Identifier
doi:10.21099/tkbjm/1571968821

Mathematical Reviews number (MathSciNet)
MR4023314

Subjects
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

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

Citation

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


Export citation