Multiple fibers on elliptic surfaces in positive characteristic
Multiple fibers on elliptic surfaces in positive characteristic
复制标题
椭圆表面上的多纤维呈正特性
DOI：
10.1215/kjm/1250517767
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发表时间：
2000
影响因子：
--
通讯作者：
M. Kawazoe
中科院分区：
文献类型：
--
作者：
M. Kawazoe
本文研究了char中的椭圆曲面。p> 0的超奇异椭圆曲线的多根纤维。特别地，我们证明了在P '上的椭圆曲面（e2 =0）上的野纤维和超奇异椭圆曲线上的一般纤维可以通过连续取一个p次的纯不可分覆盖而化为驯服纤维，并且作为它的一个应用，我们证明了如果这样的椭圆曲面只有一个重纤维，那么它的重数等于p.
In this note, we investigate elliptic surfaces in char. p> 0 with multiple fibers of a supersingular elliptic curve. In particular, we show that wild fibers on elliptic surfaces over P ' with e 2 =0 and the general fiber being a supersingular elliptic curve can be reduced to tame fibers by taking a purely inseparable covering of degree p successively and as an application of it, we show that if such elliptic surface has only one multiple fiber, then its multiplicity is equal to p.