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- W2993613454 abstract "We give a complete combinatorial characterization of all possible polarizations of powers of the graded maximal ideal $(x_1,x_2,cdots,x_m)^n$ of a polynomial ring in $m$ variables. We also give a combinatorial description of the Alexander duals of such polarizations. In the three variable case $m=3$ and also in the power two case $n=2$ the descriptions are easily visualized and we show that every polarization defines a (shellable) simplicial ball. We give conjectures relating to topological properties and to algebraic geometry, in particular that any polarization of an Artinian monomial ideal defines a simplicial ball." @default.
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- W2993613454 date "2019-12-09" @default.
- W2993613454 modified "2023-10-01" @default.
- W2993613454 title "Polarizations of powers of graded maximal ideals" @default.
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