3 papers
math.AG2018
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…
math.RA2007
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.
math.AG2007
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…