Quasi-socle ideals in local rings with Gorenstein tangent cones

Shiro Goto, Satou Kimura, Naoyuki Matsuoka +1

Quasi-socle ideals, that is the ideals $I$ of the form $I=Q:{\mathfrak{m}}^q$ in a Noetherian local ring $(A,\mathfrak{m})$ with the Gorenstein tangent cone $\mathrm{G}(\mathfrak…