椭圆曲线在正特征整体域上的第一和第二K群

arXiv: K-Theory and Homology Pub Date : 2017-11-15 DOI:10.5802/aif.3202

S. Kondo, S. Yasuda

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引用次数: 1

摘要

本文证明了函数域上椭圆曲线$E$的群$K_1$和$K_2$的最大可除子群是唯一可除的。进一步，显式地计算出对这个唯一可除子群取模的K个群。我们还计算了有限域上椭圆曲面$E$的极小正则模型的动力上同调群。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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First and second $K$-groups of an elliptic curve over a global field of positive characteristic

In this paper, we show that the maximal divisible subgroup of groups $K_1$ and $K_2$ of an elliptic curve $E$ over a function field is uniquely divisible. Further those $K$-groups modulo this uniquely divisible subgroup are explicitly computed. We also calculate the motivic cohomology groups of the minimal regular model of $E$, which is an elliptic surface over a finite field.

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arXiv: K-Theory and Homology

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