Some effects of property Np on the higher normality and defining equations of nonlinearly normal varieties

Sijong Kwak; Euisung Park

doi:10.1515/crll.2005.2005.582.87

Published by De Gruyter July 27, 2005

Some effects of property N_p on the higher normality and defining equations of nonlinearly normal varieties

Sijong Kwak and Euisung Park

From the journal Journal für die reine und angewandte Mathematik

https://doi.org/10.1515/crll.2005.2005.582.87

Showing a limited preview of this publication:

Abstract

For a smooth projective variety X ⊂ ℙ^r embedded by the complete linear system, Property N_p has been studied for a long time ([5], [11], [12], [7] etc.). On the other hand, Castelnuovo-Mumford regularity conjecture and related problems have been focused for a projective variety which is not necessarily linearly normal ([2], [13], [15], [17], [20] etc.). This paper aims to explain the influence of Property N_p on higher normality and defining equations of a smooth variety embedded by a sub-linear system. Also we prove a claim about Property N_p of surface scrolls which is a generalization of Green’s work in [11] about Property N_p for curves.

Published Online: 2005-07-27

Published in Print: 2005-05-25

Some effects of property N_p on the higher normality and defining equations of nonlinearly normal varieties

Abstract

Journal and Issue

Articles in the same Issue