3 citations · 3 across the 5 of their papers we have counts for
6 papers
A note on the Grothendieck group of an abelian variety
Shahram Biglari
We reformulate a conjecture of Beauville on algebraic cycles on an abelian variety in terms of certain compatibility and vanishings of some naturally defined filtrations on the Gro…
On coniveau filtration of Grothendieck group of a scheme
Shahram Biglari
In this note we consider the coniveau filtration on the Grothendieck group of a regular separated noetherian scheme and its behavior with respect to the multiplication and the lamb…
A remark on the additivity of traces in triangulated categories
Shahram Biglari
The additivity of traces in certain tensor triangulated categories for endomorphisms of finite order of distinguished triangles is investigated. For the identity endomorphism this…
On rings and categories of general representations
Shahram Biglari
In this note we show that similar to the classical case the ring of representations of symmetric groups in a tensor derived category is certain ring of symmetric functions. We also…
Generalizations of the primitive and normal basis theorems
Shahram Biglari
Using a Zariski topology associated to a finite field extensions, we give new proofs and generalize the primitive and normal basis theorems.
On finite dimensionality of mixed Tate motives
Shahram Biglari
We prove a few results concerning the notions of finite dimensionality of mixed Tate motives in the sense of Kimura and O'Sullivan. It is shown that being oddly or evenly finite di…