Bounds on the Castelnuovo-Mumford Regularity in dimension two

M Mandal, S Priya - arXiv preprint arXiv:2404.01684, 2024 - arxiv.org
Consider a Cohen-Macaulay local ring $(R,\mathfrak m) $ with dimension $ d\geq 2$, and
let $ I\subseteq R $ be an $\mathfrak m $-primary ideal. Denote $ r_ {J}(I) $ as the reduction …

Bounds on the Castelnuovo-Mumford Regularity in dimension two

M Mandal, S Priya - arXiv e-prints, 2024 - ui.adsabs.harvard.edu
Abstract Consider a Cohen-Macaulay local ring $(R,\mathfrak m) $ with dimension $ d\geq
2$, and let $ I\subseteq R $ be an $\mathfrak m $-primary ideal. Denote $ r_ {J}(I) $ as the …

[PDF][PDF] BOUNDS ON THE CASTELNUOVO-MUMFORD REGULARITY IN DIMENSION TWO

M MANDAL, S PRIYA - researchgate.net
Consider a Cohen-Macaulay local ring (R, m) with dimension d≥ 2, and let I⊆ R be an m-
primary ideal. Denote rJ (I) as the reduction number of I with respect to a minimal reduction J …