Componentwise linear ideals in Veronese rings

Abstract

In this article, we study the componentwise linear ideals in the Veronese subrings of R=K[x1,…,xn]. If char(K)=0, then we give a characterization for graded ideals in the cth Veronese ring R(c) to be componentwise linear. This characterization is an analogue of that over R due to Aramova, Herzog and Hibi in ah00 and Conca, Herzog and Hibi in chh04.

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