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.
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页码：1022 / 1043
页数：22
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