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Shamila Bayati, Multigraded shifts of matroidal ideals, Archiv der Mathematik 111 ( · 2018

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Syzygies of polymatroidal ideals

math.AC · 2025-07-17 · conditional · novelty 7.0

For every polymatroid, the cave polynomial is valuative, its support is a generalized polymatroid, and its coefficients are the Möbius values, settling the Bandari-Bayati-Herzog and Castillo-Cid-Ruiz-Mohammadi-Montano conjectures.

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  • Syzygies of polymatroidal ideals math.AC · 2025-07-17 · conditional · none · ref 2

    For every polymatroid, the cave polynomial is valuative, its support is a generalized polymatroid, and its coefficients are the Möbius values, settling the Bandari-Bayati-Herzog and Castillo-Cid-Ruiz-Mohammadi-Montano conjectures.