3 problems

For each $k\geq 0$, define $\ell^{k}(a_1,\ldots,a_n)$ by … Let $(V,0)=\{(x_1,\ldots,x_n)\in\mathbb{C}^{n}:f(x_1,\ldots,x_n)=0\}$ be an isolated singularity with $n\geq 2$, where…

Let $C=C_J\cup C_K$ be a reducible plane curve with the notation used above, where $C_J$ and $C_K$ are the corresponding subcurves and $\textup{I}(C_J,C_K)$ denotes their intersect…

Let $g\colon(\mathbb C^3,0)\to(\mathbb C,0)$ be an augmenting function, and let $\mu(g)$ and $\tau(g)$ denote its Milnor and Tjurina numbers. The $\mu/\tau$ conjecture. It is conje…