10 citations · 11 across the 8 of their papers we have counts for
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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…
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…
A remark on a result of Huber and Kahn
Somayeh Habibi, Farhad Rahmati
A. Huber and B. Kahn construct a relative slice filtration on the motive M(X) associated to a principal T-bundle X over a smooth scheme Y. As a consequence of their result, one can…
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…
On The Motive of G-bundles
Somayeh Habibi, M. E. Arasteh Rad
Let be a reductive algebraic group over a perfect field and $\cG$ a -bundle over a scheme . The main aim of this article is to study the motive associated with $\cG…