4 papers
Multiplicity Versus Buchsbaumness of the special fiber cone
Anoot Kumar Yadav, Kumari Saloni
Let be a Noetherian local ring of dimension with infinite residue field and an -primary ideal. Let be an -good filtration.…
Special fibers of coordinate sections of Hankel Matrices
Katie Ansaldi, Dayane Lira, Maral Mostafazadehfard +2
We investigate the special fibers associated with certain coordinate sections of Hankel determinantal ideals. We provide explicit descriptions of their defining equations, showing…
Buchsbaumness, Macaulayfication and Castelnuovo-Mumford regularity of monomial curves
Biplab Dawn, Kumari Saloni
Projective monomial curves are associated with rings generated by monomials of equal degree in two variables. In this paper, we give an infinite class of non-smooth, non Cohen-Maca…
Bounding reduction number and the Hilbert coefficients of filtration
Kumari Saloni, Anoot Kumar Yadav
Let $(A,\m)$ be a Cohen-Macaulay local ring of dimension , an $\m$-primary ideal and an -admissible filtration. We establish bounds…