Modular Invariants and Singularity Indices of Hyperelliptic Fibrations

doi:10.1007/s11401-016-1045-6

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	Modular Invariants and Singularity Indices of Hyperelliptic Fibrations
	Liu, Xiaolei
	2016-11-01
发表期刊	CHINESE ANNALS OF MATHEMATICS SERIES B
ISSN	0252-9599
卷号	37 期号:6 页码:875-890
摘要	The modular invariants of a family of curves are the degrees of the pullback of the corresponding divisors by the moduli map. The singularity indices were introduced by Xiao (1991) to classify singular fibers of hyperelliptic fibrations and to compute global invariants locally. In semistable case, the author shows that the modular invariants corresponding to the boundary divisor classes are just the singularity indices. As an application, the author shows that the formula of Xiao for relative Chern numbers is the same as that of Cornalba-Harris in semistable case.
关键词	Modular invariants Singularity indices Moduli space of curves
DOI	10.1007/s11401-016-1045-6
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000393125400006
出版者	SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24662
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Xiaolei
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100090, Peoples R China
推荐引用方式 GB/T 7714	Liu, Xiaolei. Modular Invariants and Singularity Indices of Hyperelliptic Fibrations[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2016,37(6):875-890.
APA	Liu, Xiaolei.(2016).Modular Invariants and Singularity Indices of Hyperelliptic Fibrations.CHINESE ANNALS OF MATHEMATICS SERIES B,37(6),875-890.
MLA	Liu, Xiaolei."Modular Invariants and Singularity Indices of Hyperelliptic Fibrations".CHINESE ANNALS OF MATHEMATICS SERIES B 37.6(2016):875-890.