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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…
math.AG2020
A Note On Two Fiber Bundles and The Manifestations Of "Shtuka"
Esmail Arasteh Rad
In this note we intend to look at the moduli stacks for global -shtukas from a new perspective. We discuss a unifying interpretation of several moduli spaces (stacks) including…
math.AG2013
On the Motive of a Fibre Bundle and its Applications
Somayeh Habibi, Esmail Arasteh Rad
In this article we compute the motive associated to a cellular fibration over a smooth scheme inside Veovodsky's motivic categories. We implement this result to study the m…