Vaibhav Vaish

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20172025

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math.AG2025

Intersection complex of any threefold as a Chow motive

Shruti Rastogi, Vaibhav Vaish

Motivated by the characterization of the intersection complex in terms of S $.$ Morel's weight truncations, we introduced an object $E M_{X}^{F}$ in the setting of motivic sheaves for…

math.AG2018

Motivic Intersection Complex of Certain Shimura varieties

Vaibhav Vaish

Using a version of weight conservativity we demonstrate that for certain Shimura varieties (including all Shimura three-folds, most Shimura four-folds and the Siegel sixfold) the c…

math.AG2017

Punctual gluing of $t$ -structures and weight structures

Vaibhav Vaish

We formulate a notion of "punctual gluing" of $t$ -structures and weight structures. As our main application we show that the relative version of Ayoub's $1$ -motivic $t$ -structure r…

math.AG2017

On weight truncations in the motivic setting

Vaibhav Vaish

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 ap…

Intersection complex of any threefold as a Chow motive

Motivic Intersection Complex of Certain Shimura varieties

Punctual gluing of t-structures and weight structures

On weight truncations in the motivic setting

Punctual gluing of $t$ -structures and weight structures