Non-symplectic involutions of normal K3 surfaces associated with Hirzebruch surfaces

被引：0
|
作者：
Hayashi, Taro [1 ]
机构：
[1] Ritsumeikan Univ, Coll Sci & Engn, Dept Math Sci, 1-1-1 Nojihigashi, Kusatsu, Shiga 5258577, Japan
来源：
GEOMETRIAE DEDICATA | 2024年 / 218卷 / 06期
关键词：
Noraml K3 surface; Non-symplectic involution; Double cover; ELLIPTIC FIBRATIONS; LINEAR-SYSTEMS; DOUBLE COVER;
D O I：
10.1007/s10711-024-00959-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a non-symplectic involution g of a K3 surface X , the fixed point set of g and the quotient space X/(g) are well studied. In this paper, we study a non-symplectic involution f of a normal K3 surface Y such that the smooth model of Y is a double cover K3 surface of a Hirzebruch surface and f is induced by its covering involution. We determine the fixed point set of f , the singular points of Y, and the quotient space Y/(f).
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页数：13
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