Timeline for Reflection-invariant monomial ideals and Alexander duality
Current License: CC BY-SA 4.0
5 events
when toggle format | what | by | license | comment | |
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Nov 1, 2018 at 17:36 | vote | accept | Aaron Dall | ||
Oct 22, 2018 at 15:35 | vote | accept | Aaron Dall | ||
Oct 25, 2018 at 13:06 | |||||
Oct 22, 2018 at 15:35 | answer | added | Aaron Dall | timeline score: 3 | |
Oct 21, 2018 at 15:14 | comment | added | Aaron Dall | Note that the generators of Alexander dual $I^{[4,3,3]}$ are precisely the monomials $\mathbf{x}^{\mathbf{K} + \mathbf{1}}/\mathbf{x}^{\mathbf{b}}$ for $\mathbf{x}^{\mathbf{b}} \in \mathrm{MonSoc}(I)$. This is similar to Proposition 1 on page 5 of this paper where the facet ideal of a matroid is expressed as the Stanley-Reisner ideal of the Alexander dual of the (independence complex) of the dual matroid. | |
Oct 16, 2018 at 19:23 | history | asked | Aaron Dall | CC BY-SA 4.0 |