3 problems

Critical-locus conjecture. The Haiman neighborhood of every such Borel monomial ideal is a critical locus in the stated tangent space.

Let $f$ be a holomorphic function germ with critical locus $\boldsymbol{\Sigma} f$, let $F_{f,\mathbf 0}$ denote its Milnor fiber at the origin, and let $\stackrel{\circ}{\mu}_C$ b…

Let $f$ be a holomorphic function germ with critical locus $\boldsymbol{\Sigma} f$, let $C$ be its irreducible component, and let $F_{f,\mathbf p}$ denote the Milnor fiber of $f$ a…