Classification of Subpencils for Hyperplane Sections on Certain K3 Surfaces

被引：0

作者：

Takahashi, Tomokuni ^{[1
]}

机构：

[1] Ichinoseki Coll, Natl Inst Technol, Sect Liberal Arts & Sci, Ichinoseki, Iwate, Japan

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2023年 / 66卷 / 04期

关键词：

hyperplane sections; nonhyperelliptic curves; pencils; Horikawa index;

D O I：

10.1017/S0013091523000561

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify the subpencils of complete linear systems for the hyperplane sections on K3 surfaces obtained as the complete intersection of a hyperquadric and a hypercubic. The classification is done from three points of view, namely, the type of a general fibre, the base locus and the Horikawa index of the essential member. This classification shows the distinct phenomenons depending on the rank of the hyperquadrics containing the surface.

引用

页码：1022 / 1043

页数：22

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