The authors define divisible weighted projective spaces, give sharp bounds for minimal-degree non-degenerate subvarieties therein, and develop a theory of weighted determinantal scrolls that achieve minimal degree while satisfying weighted N_p properties tied to regularity notions.
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2 Pith papers cite this work. Polarity classification is still indexing.
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All lattice path matroids are Ehrhart positive, unifying prior results and implying positivity for Schubert matroids while supporting conjectures on positroids and Schubitopes.
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Varieties of minimal degree in weighted projective space
The authors define divisible weighted projective spaces, give sharp bounds for minimal-degree non-degenerate subvarieties therein, and develop a theory of weighted determinantal scrolls that achieve minimal degree while satisfying weighted N_p properties tied to regularity notions.
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Ehrhart positivity for lattice path matroids
All lattice path matroids are Ehrhart positive, unifying prior results and implying positivity for Schubert matroids while supporting conjectures on positroids and Schubitopes.