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arXiv 1902.00932math.AG
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关于整系数在特征零点的Suslin同调(附Bruno Kahn的附录)

On Suslin homology with integral coefficients in characteristic zero (with an appendix by Bruno Kahn)

Xiaowen Hu, with an Appendix by Bruno Kahn

摘要:

证明了特征为0的代数闭域上的有限型$X$的整系数的Suslin同调群是唯一可除群、$\mathbb{Q}/\mathbb{Z}$的有限拷贝群和有限生成群的直和.我们还研究了由概型的态射所引起的群之间的可能同态类型。Bruno Kahn写的附录包括在内,它简化了证明并推广了结果。

英文摘要:

We show that the Suslin homology group with integral coefficients of a scheme $X$ separated of finite type over an algebraically closed field of characteristic 0 is a direct sum of a uniquely divisible group, finite copies of $\mathbb{Q}/\mathbb{Z}$, and a finitely generated group. We also study the possible type of homomorphisms between such groups induced by the morphisms of schemes. An appendix written by Bruno Kahn is included, which simplifies the proofs and generalizes the results.

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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