Keller VandeBogert

activity

20162026

most citedEquivariant resolutions over Veronese rings

2 citations · 8 across the 28 of their papers we have counts for

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8 papers · 1 filter

math.AC2020

DG Structure on Length 3 Trimming Complexes and Applications to Tor Algebras

Keller VandeBogert

In this paper, we consider the iterated trimming complex associated to data yielding a complex of length $3$ . We compute an explicit algebra structure in this complex in terms of t…

math.AC2020

Vanishing of Avramov Obstructions for Products of Sequentially Transverse Ideals

Keller VandeBogert

Two ideals $I$ and $J$ are called transverse if $I \cap J = I J$ . We show that the obstructions defined by Avramov for classes of (sequentially) transverse ideals in regular local r…

math.AC2020

The DG Products of Peeva and Srinivasan Coincide

Keller VandeBogert

Consider the ideal $(x_{1}, \dots, x_{n})^{d} \subseteq k [x_{1}, \dots, x_{n}]$ , where $k$ is any field. This ideal can be resolved by both the $L$ -complexes of Buchsbaum and Eisenbud,…

math.AC2020

Minimal Free Resolutions of Certain Equigenerated Monomial Ideals

Keller VandeBogert

Let $R = k [x_{1}, \dots, x_{n}]$ denote the standard graded polynomial ring over a field $k$ . We study certain classes of equigenerated monomial ideals with the property that the so-…

math.AC2020

Determinantal Facet Ideals for Smaller Minors

Ayah Almousa, Keller VandeBogert

A determinantal facet ideal (DFI) is generated by a subset of the maximal minors of a generic $n \times m$ matrix where $n \leq m$ indexed by the facets of a simplicial complex $Δ$ .…

math.AC2020

DG Structure on the Length 4 Big From Small Construction

Keller VandeBogert

The big from small construction was introduced by Kustin and Miller and can be used to construct resolutions of tightly double linked Gorenstein ideals. In this paper, we expand on…

math.AC2020

Resolution and Tor Algebra Structures of Grade 3 Ideals Defining Compressed Rings

Keller VandeBogert

Let $R = k [x, y, z]$ be a standard graded $3$ -variable polynomial ring, where $k$ denotes any field. We study grade $3$ homogeneous ideals $I \subseteq R$ defining compressed rings wit…

math.AC2020

Trimming Complexes and Applications to Resolutions of Determinantal Facet Ideals

Keller VandeBogert

We produce a family of complexes called trimming complexes and explore applications. We study how trimming complexes can be used to deduce the Betti table for the minimal free reso…