3 papers
math.HO2026
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…
math.AG2025
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…
math.AG2025
On The Motivic Leray-Hirsch Theorem For Pure Tate Fibre Bundles
Esmail Arasteh Rad, Somayeh Habibi
In this note we prove a motivic version of Leray-Hirsch theorem for pure Tate fibre bundles in the Grothendieck category of Chow motives. We then discuss some of its applications.