Modular Invariants and Singularity Indices of Hyperelliptic Fibrations
文献类型：期刊论文
| 作者 | Liu, Xiaolei |
| 刊名 | CHINESE ANNALS OF MATHEMATICS SERIES B
 |
| 出版日期 | 2016-11-01 |
| 卷号 | 37期号:6页码:875-890 |
| 关键词 | Modular invariants Singularity indices Moduli space of curves |
| ISSN号 | 0252-9599 |
| DOI | 10.1007/s11401-016-1045-6 |
| 英文摘要 | 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. |
| 语种 | 英语 |
| WOS记录号 | WOS:000393125400006 |
| 出版者 | SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24661]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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