Linear determinantal curves, compressed Gorenstein set of points and instanton bundles (Q1676509)

In the first part of this paper the author proves the existence of linear determinantal curves in \(\mathbb{P}\)\(^3\) meeting transversally along an arithmetically Gorenstein 0-dimensional compressed scheme. In the second part of the paper the author uses the existence of such linear determinantal curves in \(\mathbb{P}\)\(^3\) to build a linear monad whose associated cohomology bundle is an instanton [\textit{R. Hartshorne} and \textit{R. M. Miró-Roig}, J. Pure Appl. Algebra 219, No. 8, 3195--3213 (2015; Zbl 1350.14011)]. The author includes an extensive introduction with all the needed definitions and basic results on linear determinantal curves, arithmetically Gorenstein 0-dimensional schemes, h-vectors, compressed schemes and instanton bundles [\textit{D. A. Buchsbaum} and \textit{D. Eisenbud}, Am. J. Math. 99, 447--485 (1977; Zbl 0373.13006); \textit{R. M. Miró-Roig} and \textit{K. Ranestad}, Adv. Geom. 5, No. 4, 637--655 (2005; Zbl 1084.14031); \textit{A. P. Rao}, J. Reine Angew. Math. 390, 170--192 (1988; Zbl 0642.14004)].