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Lexsegment ideals of Hilbert depth 1
Let I\subset S=\KK[x_1,...,x_n] be a lexsegment ideal, generated by
monomials of degree . The main aim of this paper is to characterize when the
Hilbert depth of will be 1, in the standard graded case. In addition to
this, we will give an estimate of depth of squarefree monomial ideals,
generalizing a result of Popescu. We will also show that Stanley conjecture
holds for squarefree stable ideals, in the multigraded case.Comment: 14 page
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