Ratliff-Rush filtration, Hilbert coefficients and the reduction number of integrally closed ideals

Kumari Saloni, Anoot Kumar Yadav

Let $(R,\mathfrak{m})$ be a Cohen-Macaulay local ring of dimension $d\ge 3$ and $I$ an integrally closed $\mathfrak{m}$-primary ideal. We establish bounds for the third Hilbert co…