高等周氏群的复杂性

Pub Date : 2022-07-29 DOI:10.4153/S0008439522000509

Genival da Silva, James D. Lewis

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引用次数: 0

摘要

摘要:设$X/{\mathbb C}$是一个光滑的投影变量。我们考虑两个积分不变量，其中一个是Hodge上同代数$H^*(X,{\mathbb C})$的水平，另一个涉及$m\geq 0$的高Chow群的复杂性${\mathrm {CH}}^*(X,m;{\mathbb Q})$。我们推测这两个不变量是相同的，并相应地提供了一些强有力的证据来支持这一点。

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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The complexity of higher Chow groups

Abstract Let $X/{\mathbb C}$ be a smooth projective variety. We consider two integral invariants, one of which is the level of the Hodge cohomology algebra $H^*(X,{\mathbb C})$ and the other involving the complexity of the higher Chow groups ${\mathrm {CH}}^*(X,m;{\mathbb Q})$ for $m\geq 0$ . We conjecture that these two invariants are the same and accordingly provide some strong evidence in support of this.

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