Arithmetically Cohen-Macaulay space curves reloaded
Philippe Ellia

TL;DR
This paper characterizes the minimal free resolution of certain zero-dimensional subschemes in the plane and extends results on the smoothability of arithmetically Cohen-Macaulay space curves.
Contribution
It provides a new characterization of minimal free resolutions for non-connected zero-dimensional subschemes and generalizes Sauer's results on the smoothability of ACM space curves.
Findings
Characterization of minimal free resolutions for non-connected zero-dimensional subschemes
Generalization of Sauer's smoothability result for ACM space curves
Additional insights and complements on the topic
Abstract
We characterize the minimal free resolution of zero-dimensional subschemes in the plane with non connected character. This is then used to slightly generalize a result of Sauer about the smoothability of a.C.M. space curves. Some complements are also given.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic Geometry and Number Theory · Polynomial and algebraic computation
