Polarizations and hook partitions

نویسندگان

چکیده

In this paper, we relate combinatorial conditions for polarizations of powers the graded maximal ideal with rank on submodules generated by collections Young tableaux. We apply discrete Morse theory to hypersimplex resolution introduced Batzies–Welker show that L-complex Buchsbaum and Eisenbud is supported a CW-complex. then translate “spanning tree condition” Almousa–Fløystad–Lohne characterizing into condition about which sets hook tableaux span certain Schur module. As an application, give complete characterization so-called “restricted powers” ideal.

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2022

ISSN: ['1873-1376', '0022-4049']

DOI: https://doi.org/10.1016/j.jpaa.2022.107056