The minimal resolution conjecture on a general quartic surface in \(\mathbb{P}^3\) (Q1634844)

\textit{M. Mustaţǎ} [Matematiche 53, 53--81 (1998; Zbl 0943.13010)] has given a conjecture for the graded Betti numbers in the minimal free resolution of the ideal of a general set of points on an irreducible projective algebraic variety. For surfaces in \(\mathbb P^3\), this conjecture has been proven for points on quadric surfaces and on general cubic surfaces. In the latter case, Gorenstein liaison was the main tool. The paper under review proves Mustaţă's conjecture for general quartic surfaces in \(\mathbb P^3\). Gorenstein liaison continues to be a central tool. Dimension computations are made to prove the existence of the necessary links. The dimension count does not force the existence of the links that would lead to a proof of a higher degree case of Mustaţă's conjecture in \(\mathbb P^3\).