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Qihong XIE 《数学年刊B辑(英文版)》2011,32(5):741-748
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. 相似文献
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曾唯尧 《高校应用数学学报(A辑)》1994,(3):248-255
本文我们首先推广了著名的Favard定理并指出对齐次线性概周期系统由Favard定理所得到的概周期解是平凡的。然后利用推广后的Favard定理和普通型二分性讨论了一类线性和非线性系统的概周期解存在性。Nakajima在文〔3〕中的结果是我们的结果的一种特殊情形。 相似文献
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