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- W3184228317 abstract "In this paper, we relate combinatorial conditions for polarizations of of the graded maximal ideal with rank conditions on submodules generated by collections of Young tableaux. We apply discrete Morse theory to the hypersimplex resolution introduced by Batzies--Welker to show that the $L$-complex of Buchsbaum and Eisenbud for of the graded maximal ideal is supported on a CW-complex. We then translate the spanning tree of Almousa--Floystad--Lohne characterizing polarizations of of the graded maximal ideal into a condition about which sets of hook tableaux span a certain Schur module. As an application, we give a complete combinatorial characterization of polarizations of so-called restricted powers of the graded maximal ideal." @default.
- W3184228317 created "2021-08-02" @default.
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- W3184228317 date "2021-07-15" @default.
- W3184228317 modified "2023-10-01" @default.
- W3184228317 title "Polarizations and Hook Partitions" @default.
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