paper

Regularity and symbolic defect of points on rational normal curves

arXiv:2007.08612

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.

12 pages

Regularity and symbolic defect of points on rational normal curves · wovepaper