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The structure of Koszul algebras defined by four quadrics.J

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Syzygies of the transfer ideal of the symmetric group

math.AC · 2026-04-30 · unverdicted · novelty 6.0

The transfer ideal of S_n in char p is an elimination ideal J ∩ R^{S_n} whose structure depends only on n = qp + r, with a determinantal presentation conjectured and proven for q=2, plus graded Betti numbers from a GL-equivariant linear resolution.

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  • Syzygies of the transfer ideal of the symmetric group math.AC · 2026-04-30 · unverdicted · none · ref 7

    The transfer ideal of S_n in char p is an elimination ideal J ∩ R^{S_n} whose structure depends only on n = qp + r, with a determinantal presentation conjectured and proven for q=2, plus graded Betti numbers from a GL-equivariant linear resolution.