10 citations · 14 across the 8 of their papers we have counts for
9 papers
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…
Local Models For Rapoport-Zink Spaces For Local P-Shtukas
Esmail Arasteh Rad
This article provides a ``local'' complementary to the previous results concerning the local models for the moduli stacks of ``global'' -shtukas. Here we study the geometry of R…
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…
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…
Rapoport-Zink Spaces For Local P-Shtukas and Their Local Models
Esmail Arasteh Rad
In this article we first survey the analogy between Shimura varieties (resp. Rapoport-Zink spaces) and moduli stacks for global G-shtukas (resp. Rapooprt Zink spaces for local P-sh…
A Positivity Criterion for the Wave Equation and Global Existence of Large Solutions
Marius Beceanu, Avy Soffer
In dimensions one to three, the fundamental solution to the free wave equation is positive. Therefore, there exists a simple positivity criterion for solutions. We use this to obta…
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…
Uniformizing The Moduli Stacks of Global G-Shtukas
Esmail M. Arasteh Rad, Urs Hartl
This is the second in a sequence of articles, in which we explore moduli stacks of global G-shtukas, the function field analogs for Shimura varieties. Here G is a flat affine group…