Murthy's complete intersection conjecture

Let $k$ be a field and let $A=k[X_1,X_2,\ldots,X_n]$ be a polynomial ring over $k$. For an ideal $I$ in $A$, let $\mu(I)$ denote the minimal number of generators of $I$, and similarly let $\mu(I/I^2)$ denote the minimal number of generators of the conormal module $I/I^2$.

Murthy's complete intersection conjecture. For every ideal $I$ in $A$,

$$\mu(I)=\mu(I/I^2).$$

This is a complete intersection conjecture attributed to M. P. Murthy. A solution was claimed when $k$ is an infinite perfect field with $1/2\in k$, so the conjecture is recorded as solved.