CURVES ON WEIGHTED K3 SURFACES OF DEGREE TWO WITH SYMMETRIC WEIERSTRASS SEMIGROUPS

被引：2

作者：

Komeda, Jiryo ^{[1
]}

Mase, Makiko ^{[2
,3
]}

机构：

[1] Kanagawa Inst Technol, Dept Math, Ctr Basic Educ & Integrated Learning, Atsugi, Kanagawa 2430292, Japan

[2] Tokyo Metropolitan Univ, Dept Math & Informat Sci, Hachioji, Tokyo 1920397, Japan

[3] Univ Mannheim, Lehrstuhl Math, B6 26, D-68131 Mannheim, Germany

来源：

TSUKUBA JOURNAL OF MATHEMATICS | 2019年 / 43卷 / 01期

关键词：

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

D O I：

10.21099/tkbjm/1571968821

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：55 / 69

页数：15

共 11 条

[1]

[Anonymous], 1983, Lecture Notes in Math.

[2]

[Anonymous], 2004, RESULTS MATH RELATED

[3]

DONAGI R, 1989, J DIFFER GEOM, V29, P49

[4] Numerical semigroups of genus eight and double coverings of curves of genus three [J].