18 citations · 81 across the 20 of their papers we have counts for
4 papers · 1 filter
Local cohomology and the multi-graded regularity of FI-modules
Liping Li, Eric Ramos
We develop a local cohomology theory for FI-modules, and show that it in many ways mimics the classical theory for multi-graded modules over a polynomial ring. In particular, w…
Generalized Representation Stability and FI_d-modules
Eric Ramos
In this note we consider the complex representation theory of FI_d, a natural generalization of the category FI of finite sets and injections. We prove that finitely generated FI_d…
Depth and the Local Cohomology of FI_G-modules
Liping Li, Eric Ramos
In this paper we describe a machinery for homological calculations of representations of FI_G, and use it to develop a local cohomology theory over any commutative Noetherian ring.…
Homological Invariants of FI-modules and FI_G-modules
Eric Ramos
We explore a theory of depth for FI_G-modules which are presented in finite degrees. Using this theory, we prove results about the regularity, and provide novel bounds on stable ra…