Monomial ideals whose powers have a linear resolution

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6 Ju l 2 00 3 MONOMIAL IDEALS WHOSE POWERS HAVE A LINEAR RESOLUTION

In this paper we consider graded ideals in a polynomial ring over a field and ask when such an ideal has the property that all of its powers have a linear resolution. It is known [7] that polymatroidal ideals have linear resolutions and that powers of polymatroidal ideals are again polymatroidal (see [2] and [8]). In particular they have again linear resolutions. In general however, powers of i...

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ژورنال

عنوان ژورنال: MATHEMATICA SCANDINAVICA

سال: 2004

ISSN: 1903-1807,0025-5521

DOI: 10.7146/math.scand.a-14446