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math.AG2025
On the Problem of Mixed-Tateness of the Motives of G-Varieties
Somayeh Habibi
Building on earlier work concerning the motives of -bundles, we study the structure of motives associated with certain classes of -varieties. In particular, we show that the…
math.AG2025
On The Motivic Leray-Hirsch Theorem For Pure Tate Fibre Bundles
Esmail Arasteh Rad, Somayeh Habibi
We prove a Leray-Hirsch theorem for a smooth proper morphism over a smooth integral base whose generic fibre has a pure Tate motive. We further explore and highlight some key appli…