1 citations · 1 across the 7 of their papers we have counts for
10 papers
Differential Modules with Complete Intersection Homology
Maya Banks, Keller VandeBogert
Differential modules are natural generalizations of complexes. In this paper, we study differential modules with complete intersection homology, comparing and contrasting the theor…
A GL-Equivariant Complex Inducing Character Identities for Schur Modules
Keller VandeBogert
In this paper we construct a GL-equivariant complex of Schur modules over a ring of positive characteristic that can be used to deduce classical alternating sum identities for Schu…
Detecting Golodness via Gröbner Degeneration
Keller VandeBogert
In this paper we study the extent to which Golodness may be transferred along morphisms of DG-algebras. In particular, we show that if is a so-called fiber invariant ideal, the…
On Restricted Powers of Complete Intersections
Keller VandeBogert
A restricted th power of an ideal is obtained by restricting the exponent vectors allowed to appear on the "natural" generating set of , for some integer . In this p…
On Constructions Related to the Generalized Taylor Complex
Keller VandeBogert
In this paper, we extend constructions and results for the Taylor complex to the generalized Taylor complex constructed by Herzog. We construct an explicit DG-algebra structure on…
Linear Strands Supported on Regular CW Complexes
Keller VandeBogert
In this paper, we study ideals whose linear strand can be supported on a regular CW complex. We provide a sufficient condition for the linear strand of an arbitrary subideal of…