Isotrivial fibred surfaces
Isotrivial fibred surfaces
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DOI：
10.1007/bf01759382
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发表时间：
1996-12
影响因子：
1
通讯作者：
F. Serrano
中科院分区：
文献类型：
--
作者：
F. Serrano
等平凡曲面是在曲线上赋予态射的光滑投影曲面，使得所有光滑纤维彼此同构。这样的曲面与有限群作用下的曲线乘积的商双有理同构。从这个双有理描述开始，分析了几个双正则特征。特别是，特定模型的规范束是显式计算的。
An isotrivial surface is a smooth projective surface endowed with a morphism onto a curve such that all smooth fibres are isomorphic to each other. Such a surface is birationally isomorphic to a quotient of a product of curves by the action of a finite group. Starting with this birational description, several biregular features are analysed. In particular, the canonical bundle of a particular model is explicitely computed.