TY - JOUR

T1 - The weak lefschetz property and powers of linear forms in K [x, y, z]

AU - Schenck, Hal

AU - Seceleanu, Alexandra

N1 - Copyright:
Copyright 2010 Elsevier B.V., All rights reserved.

PY - 2010/7

Y1 - 2010/7

N2 - We show that an Artinian quotient of an ideal I ⊆ K [x, y, z] generated by powers of linear forms has the Weak Lefschetz Property. If the syzygy bundle of I is semistable, the property follows from results of Brenner-Kaid. Our proof works without this hypothesis, which typically does not hold.

AB - We show that an Artinian quotient of an ideal I ⊆ K [x, y, z] generated by powers of linear forms has the Weak Lefschetz Property. If the syzygy bundle of I is semistable, the property follows from results of Brenner-Kaid. Our proof works without this hypothesis, which typically does not hold.

KW - Artinian algebra

KW - Powers of linear forms

KW - Weak Lefschetz property

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U2 - 10.1090/S0002-9939-10-10288-3

DO - 10.1090/S0002-9939-10-10288-3

M3 - Article

AN - SCOPUS:77951776215

VL - 138

SP - 2335

EP - 2339

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 7

ER -