3 papers
math.AC2020
Graded Linearity of Stanley-Reisner Ring of Broken Circuit Complexes
Mohammad Reza Rahmati, Gerardo Flores
This paper introduces two new notions of graded linear resolution and graded linear quotients, which generalize the concepts of linear resolution property and linear quotient for m…
math.RT2020
Geometry of Weighted Homogeneous Spaces
Mohammad Reza Rahmati, Gerardo Flores
In this paper, we define the weighted homogeneous space (WHS), denoted by where is weight function defined on the set of simple roots of , by an element…
math.NT2016
Nilpotent orbit theorem in -adic Hodge theory
Mohammad Reza Rahmati, Gerardo Flores
We state and prove three orbit theorems on the period domains for the -adic Hodge structure analogous to the complex case. We shall consider the variation of de Rham (resp. étal…