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arXiv · 2512.01297

Intersection complex of any threefold as a Chow motive

Shruti Rastogi·Vaibhav Vaish
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Abstract

Motivated by the characterization of the intersection complex in terms of S$.$Morel's weight truncations, we introduced an object $EM^{F}_{X}$ in the setting of motivic sheaves for certain schemes $X$ and weight profiles $F$. In this article, we show that when $X$ is any threefold, this object satisfies Wildeshaus's characterization of a motivic intersection complex. In particular, we demonstrate that the construction is a suitably functorial Chow motive lifting the motivic intersection complex for an arbitrary threefold.

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Shruti Rastogi, Vaibhav Vaish. 2025-12-01. Intersection complex of any threefold as a Chow motive. https://arxiv.org/abs/2512.01297

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