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On the structure of monomial complete intersections in positive characteristic

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arxiv 1604.06820 v2 pith:TTKJE3FN submitted 2016-04-22 math.AC

Samuel Lundqvist , Lisa Nicklasson This is my paper · ORCID
classification math.AC
keywords completelefschetzcharacteristicintersectionsmonomialpositivepropertyassumption
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In this paper we study the Lefschetz properties of monomial complete intersections in positive characteristic. We give a complete classification of the strong Lefschetz property when the number of variables is at least three, which proves a conjecture by Cook II. We also extend earlier results on the weak Lefschetz property by dropping the assumption on the residue field being infinite, and by giving new sufficient criteria.

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