19 citations · 36 across the 13 of their papers we have counts for
13 papers
Resolutions of differential operators of low order for an isolated hypersurface singularity
Rachel N. Diethorn, Jack Jeffries, Claudia Miller +4
In this paper we develop a new approach for studying differential operators of an isolated singularity graded hypersurface ring defining a surface in affine three-space over a…
Canonical Resolutions over Koszul Algebras
Eleonore Faber, Martina Juhnke-Kubitzke, Haydee Lindo +3
We generalize Buchsbaum and Eisenbud's resolutions for the powers of the maximal ideal of a polynomial ring to resolve powers of the homogeneous maximal ideal over graded Koszul al…
Transferring algebra structures on complexes
Claudia Miller, Hamidreza Rahmati
We discuss a homological method for transferring algebra structures on complexes along suitably nice homotopy equivalences, including those obtained after an application of the Per…
Betti numbers of the Frobenius powers of the maximal ideal over a general hypersurface
Claudia Miller, Hamidreza Rahmati, Rebecca R. G
The main goal of this paper is to prove, in positive characteristic , stability behavior for the graded Betti numbers in the periodic tails of the minimal resolutions of Frobeni…
Adams Operations on Matrix Factorizations
Michael K. Brown, Claudia Miller, Peder Thompson +1
We define Adams operations on matrix factorizations, and we show these operations enjoy analogues of several key properties of the Adams operations on perfect complexes with suppor…
Cyclic Adams Operations
Michael K. Brown, Claudia Miller, Peder Thompson +1
Let be a commutative, Noetherian ring and a closed subset. Define to be the Grothendieck group of those bounded complexes of fin…