Finite Abelian Groups of K3 Surfaces with Smooth Quotient

作     者：Taro HAYASHI Taro HAYASHI

作者机构：Faculty of AgricultureKindai UniversityNakamaticho 3327-204NaraNara 631-8505Japan 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2023年第44卷第1期

页      面：99-162页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：K3 surface Finite Abelian group Abelian cover of a smooth rational surface 

摘      要：The quotient space of a K3 surface by a finite group is an Enriques surface or a rational surface if it is *** groups where the quotient space are Enriques surfaces are *** this paper,by analyzing effective divisors on smooth rational surfaces,the author will study finite groups which act faithfully on K3 surfaces such that the quotient space are *** particular,he will completely determine effective divisors on Hirzebruch surfaces such that there is a finite Abelian cover from a K3 surface to a Hirzebrunch surface such that the branch divisor is that effective ***,he will decide the Galois group and give the way to construct that Abelian cover from an effective divisor on a Hirzebruch ***,he studies the same theme for Enriques surfaces.