The Dynkin-range licci conjecture for perfect ideals

Let $I$ be a grade $c$ perfect ideal in a local Noetherian ring $R$. Let $d$ denote the deviation of $I$ and $t$ the minimal number of generators of $\operatorname{Ext}^c(R/I,R)$. Let $T_{c-1,d+1,t+1}$ be the indicated diagram. Dynkin-range licci conjecture. If $T_{c-1,d+1,t+1}$ is a Dynkin diagram, equivalently if

$$\frac{1}{c-1}+\frac{1}{d+1}+\frac{1}{t+1}>1,$$

then $I$ is in the linkage class of a complete intersection. This extends the theorem proved in the paper within the stated Dynkin range; outside that range, examples show that perfect ideals with the same Betti numbers need not be licci.