TY - JOUR
T1 - Lefschetz properties and the Veronese construction
AU - Kubitzke, Martina
AU - Murai, Satoshi
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
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U2 - 10.4310/MRL.2012.v19.n5.a7
DO - 10.4310/MRL.2012.v19.n5.a7
M3 - Article
AN - SCOPUS:84876894623
SN - 1073-2780
VL - 19
SP - 1043
EP - 1053
JO - Mathematical Research Letters
JF - Mathematical Research Letters
IS - 5
ER -