A Characterization of Counterexamples to the Kodaira-Ramanujam Vanishing Theorem on Surfaces in Positive Characteristic |
| |
Authors: | Qihong XIE |
| |
Institution: | School of Mathematical Sciences, Fudan University, Shanghai 200433, China |
| |
Abstract: | The author gives a characterization of counterexamples to the Kodaira-Ramanujam vanishing theorem on smooth projective surfaces
in positive characteristic. More precisely, it is reproved that if there is a counterexample to the Kodaira-Ramanujam vanishing
theorem on a smooth projective surface X in positive characteristic, then X is either a quasi-elliptic surface of Kodaira dimension 1 or a surface of general type. Furthermore, it is proved that up
to blow-ups, X admits a fibration to a smooth projective curve, such that each fiber is a singular curve. |
| |
Keywords: | Characterization Counterexample Kodaira-Ramanujam vanishing |
本文献已被 维普 万方数据 SpringerLink 等数据库收录! |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |