On fibrations whose geometric fibers are nonreduced
On fibrations whose geometric fibers are nonreduced
复制标题
关于几何纤维非还原的纤维
DOI：
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发表时间：
2009
影响因子：
0.8
通讯作者：
S. Schröer
中科院分区：
文献类型：
--
作者：
S. Schröer
摘要对于正特征纤维化，我们给出了几何一般纤维的嵌入维数关于基底维数的一个界。这推广了众所周知的事实，即对于曲线上的纤维化，几何通用纤维减少。我们用Fermat超曲面和亏格为1的曲线来说明我们的结果。
Abstract We give a bound on embedding dimensions of geometric generic fibers in terms of the dimension of the base, for fibrations in positive characteristic. This generalizes the well-known fact that for fibrations over curves, the geometric generic fiber is reduced. We illustrate our results with Fermat hypersurfaces and genus 1 curves.