On weight truncations in the motivic setting

Article Type

Research Article

Publication Title

Advances in Mathematics

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.

First Page

339

Last Page

400

DOI

10.1016/j.aim.2018.09.010

Publication Date

11-7-2018

Comments

All Open Access, Green

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