On weight truncations in the motivic setting
Advances in Mathematics
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.
Vaish, Vaibhav, "On weight truncations in the motivic setting" (2018). Journal Articles. 1162.