10 citations · 11 across the 8 of their papers we have counts for
8 papers
Motive Theory Hidden in Karaji-Pascal Triangle
Somayeh Habibi
These lecture notes are intended as an accessible introduction to some basic ideas of motive theory for readers with limited background in algebraic geometry. Mathematics often rev…
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…
Some Motivic Remarks On The Moduli Stacks Of global G-Shtukas And Their Local Models
Esmail Arasteh Rad, Somayeh Habibi
In this article we study motives corresponding to the moduli stacks of G-shtukas and their local models. In particular we deal with the question of describing their motivic fundame…
Local Models For The Moduli Stacks of Global -Shtukas
Esmail Arasteh Rad, Somayeh Habibi
In this article we develop the theory of local models for the moduli stacks of global -shtukas, the function field analogs for Shimura varieties. Here is a smooth affine gro…
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…