2 papers
math.AC2012
The Grade Conjecture and Asymptotic Intersection Multiplicity
Jesse S. Beder
Given a finitely generated module over a local ring of characteristic with $\pd M < \infty$, we study the asymptotic intersection multiplicity $χ_\infty(M, A/\underline…
math.AC2011
Ideals with Larger Projective Dimension and Regularity
Jesse Beder, Jason McCullough, Luis Nunez-Betancourt +3
We define a family of homogeneous ideals with large projective dimension and regularity relative to the number of generators and their common degree. This family subsumes and impro…