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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic Geometry and Number Theory · Polynomial and algebraic computation