Tight closure of parameter ideals in local rings $F$-rational on the punctured spectrum

Pham Hung Quy

Let $(R,\mathfrak{m},k)$ be an excellent equidimensional local ring of characteristic $p>0$. The aim of this paper is to show that ${\ell }_R({\mathfrak{q}}^{\ast }/\mathfrak{q})$ does not…