WILDLY RAMIFIED ACTIONS AND SURFACES OF GENERAL TYPE ARISING FROM ARTIN{SCHREIER CURVES
WILDLY RAMIFIED ACTIONS AND SURFACES OF GENERAL TYPE ARISING FROM ARTIN{SCHREIER CURVES
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ARTIN{SCHREIER 曲线产生的一般类型的粗枝化作用和表面
DOI：
10.4171/119-1/13
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
S. Schroeer
中科院分区：
文献类型：
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作者：
Hiroyuki Ito;S. Schroeer
本文分析了某些Artin{ Schreier}曲线乘积的对角商。光滑模型几乎总是一般类型的曲面，陈斜率渐近趋于1。数值不变量的计算依赖于仔细检查相关的野生商奇异的特征p。事实证明，规范模型有q 1合理的双点类型Aq 1，并嵌入作为一个因子的程度q在P 3，这是在某种意义上让人想起经典的库默四次。
We analyse the diagonal quotient for the product of certain Artin{ Schreier curves. The smooth models are almost always surfaces of general type, with Chern slopes tending asymptotically to 1. The calculation of numerical invariants relies on a close examination of the relevant wild quotient singularity in characteristic p. It turns out that the canonical model has q 1 rational double points of type Aq 1, and embeds as a divisor of degree q in P 3 , which is in some sense reminiscent of the classical Kummer quartic.