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arXiv · 2007.08612

Regularity and symbolic defect of points on rational normal curves

Iman Bahmani Jafarloo·Grzegorz Malara
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Abstract

In this paper we study ideals of points lying on rational normal curves defined in projective plane and projective $ 3 $-space. We give an explicit formula for the value of Castelnuovo-Mumford regularity for their ordinary powers. Moreover, we compare the $ m $-th symbolic and ordinary powers for such ideals in order to show whenever the $ m $-th symbolic defect is non-zero.

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Iman Bahmani Jafarloo, Grzegorz Malara. 2020-07-16. Regularity and symbolic defect of points on rational normal curves. https://arxiv.org/abs/2007.08612

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