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arXiv 0709.0134math.KTmath.AG
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椭圆曲线的Harder-Narasimhan滤子与K-群

Harder-Narasimhan Filtrations and K-Groups of an Elliptic Curve

Guodong Zhou

摘要:

设$X$是代数闭域上的椭圆曲线.证明了$X$上向量丛范畴的某些正合子范畴具有与整个范畴相同的K-群。

英文摘要:

Let $X$ be an elliptic curve over an algebraically closed field. We prove that some exact sub-categories of the category of vector bundles over $X$, defined using Harder-Narasimhan filtrations, have the same K-groups as the whole category.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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