RelativeCanonicalResolution -- construction of relative canonical resolutions and Eagon-Northcott type complexes. We construct g-nodal canonical curves with a degree k line bundle, which lie on a normalized scroll and compute the relative canonical resolution. The construction of these curves is based on the M2-package kGonalNodalCurves. We also provide functions to compute (possibly non-minimal) free resolutions of such curves by an iterated mapping cone construction, as described in Schreyer’s article Syzygies of Canonical Curves and Special Linear Series.

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  1. Bopp, Christian; Hoff, Michael: Resolutions of general canonical curves on rational normal scrolls (2015)