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arXiv · 1705.00789

On weight truncations in the motivic setting

Vaibhav Vaish
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Abstract

Using punctual gluing of $t$-structures, we construct an analogue of S. Morel's weight truncation functors (for certain weight profiles) in the setting of motivic sheaves. As an application we construct a canonical motivic analogue of the intersection complex for an arbitrary threefold over any field $k$. We are also able to recover certain invariants of singularities motivically.

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Vaibhav Vaish. 2018-08-28. On weight truncations in the motivic setting. https://arxiv.org/abs/1705.00789

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