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math.AG2017
Punctual gluing of -structures and weight structures
Vaibhav Vaish
We formulate a notion of "punctual gluing" of -structures and weight structures. As our main application we show that the relative version of Ayoub's -motivic -structure r…
math.AG2017
On weight truncations in the motivic setting
Vaibhav Vaish
Using punctual gluing of -structures, we construct an analogue of S. Morel's weight truncation functors (for certain weight profiles) in the setting of motivic sheaves. As an ap…