Free resolutions of certain codimension three perfect radical ideals
The main purpose of this work is to enrich the knowledge of codimension three radical ideal by means of understanding their syzygy-theoretic and analytic properties. The class of ideals envisaged here comprise ideals of maximal (generic) minors fixing a submatrix and presentation ideals of some of the derived blowing-up algebras. The main results obtained concern the free resolutions and the complete intersection locus of such ideals. A central technique, used but not fully developed here, is that of cutting sizes of tensor product of maps by means of appropriate trace maps. Some of the instances considered may serve as testing ground for Vasconcelos' conjectures, beyond the realm of pure resolutions.
scientific article; zbMATH DE number 4075245
scientific article