Provides an effective bound (tied to partition numbers) for stabilization of Hilbert functions and resolutions of general principal symmetric ideals, plus a recognition theorem and structure theory for maximal r-generated submodules.
The minimal free resolution of a general principal symmetric ideal
2 Pith papers cite this work. Polarity classification is still indexing.
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Incidence toric ideals for t-subsets in k-subsets are interpreted with generators as null t-designs and balanced orientable normal d-pseudomanifolds, with octahedra generators playing a key structural role.
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On General Principal Symmetric Ideals
Provides an effective bound (tied to partition numbers) for stabilization of Hilbert functions and resolutions of general principal symmetric ideals, plus a recognition theorem and structure theory for maximal r-generated submodules.
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Incidence toric ideals and three-point functions
Incidence toric ideals for t-subsets in k-subsets are interpreted with generators as null t-designs and balanced orientable normal d-pseudomanifolds, with octahedra generators playing a key structural role.