On the splitting of surfaces in motivic stable homotopy category

arXiv - MATH - Algebraic Topology Pub Date : 2024-06-17 DOI:arxiv-2406.11922

Haoyang Liu

引用次数: 0

Abstract

Let $k$ be a field and $X$ be a smooth projective surface over $k$ with a rational point, we discuss the condition of splitting off the top cell for the motivic stable homotopy type of $X$. We also study some outlying examples, such as K3 surfaces.

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论动机稳定同构范畴中的曲面分裂

让 $k$ 是一个域，而 $X$ 是一个在 $k$ 上的光滑投影面，且有理点，我们讨论了 $X$ 的顶胞分裂条件及其稳定同调类型。我们还研究了一些离群的例子，如 K3 曲面。

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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arXiv - MATH - Algebraic Topology

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