Regularity and symbolic defect of points on rational normal curves
Algebraic Geometry
2020-07-20 v1 Commutative Algebra
Abstract
In this paper we study ideals of points lying on rational normal curves defined in projective plane and projective -space. We give an explicit formula for the value of Castelnuovo-Mumford regularity for their ordinary powers. Moreover, we compare the -th symbolic and ordinary powers for such ideals in order to show whenever the -th symbolic defect is non-zero.
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Cite
@article{arxiv.2007.08612,
title = {Regularity and symbolic defect of points on rational normal curves},
author = {Iman Bahmani Jafarloo and Grzegorz Malara},
journal= {arXiv preprint arXiv:2007.08612},
year = {2020}
}
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12 pages