Multiplicity Versus Buchsbaumness of the special fiber cone

Anoot Kumar Yadav, Kumari Saloni

Let $(A,\mathfrak{m})$ be a Noetherian local ring of dimension $d>0$ with infinite residue field and $I$ an $\mathfrak{m}$-primary ideal. Let $\mathcal{I}$ be an $I$-good filtration.…