On Two Classes of Closely Related Monomial Ideals

Details On Two Classes of Closely Related Monomial Ideals On Two Classes of Closely Related Monomial Ideals

2011-06-20

arxiv.org/abs/1106.3922v1

Mathematics

Commutative Algebra

7 pages

Scientific paper

In [7] we obtained a formula for the Hilbert depth of squarefree Veronese ideals in a standard graded polynomial ring by relating it to the Hilbert depth of powers of the irrelevant maximal ideal. In this paper, we prove that these two Hilbert depth formulas are equivalent to each other. Our result reveals that there is a strong connection between these two classes of seemingly unrelated monomial ideals. We conjecture that their Stanley depths are equivalent as well.

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