Lefschetz properties and the Veronese construction

Martina Kubitzke, Satoshi Murai

Research output: Contribution to journalArticle

Abstract

In this paper, we investigate Lefschetz properties of Veronese subalgebras. We show that, for a sufficiently large r, the rth Veronese subalgebra of a Cohen-Macaulay standard graded K-algebra has properties similar to the weak and strong Lefschetz properties, which we call the 'quasi-weak' and 'almost strong' Lefschetz properties. By using this result, we obtain new results on h- and g-polynomials of Veronese subalgebras.

Original languageEnglish
Pages (from-to)1043-1053
Number of pages11
JournalMathematical Research Letters
Volume19
Issue number5
DOIs
Publication statusPublished - 2012

ASJC Scopus subject areas

  • Mathematics(all)

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