Fence complexes are associated to positroid varieties, shown to be balls with matching Ehrhart and Hilbert polynomials, and positroid varieties degenerate to reduced unions of toric varieties corresponding to the complexes.
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7 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 7representative citing papers
Frobenius identities for the volume map on Cohen-Macaulay rings give sufficient conditions for anisotropy and Hard Lefschetz in Gorenstein quotients and deduce the g-theorem for simplicial spheres plus the Ohsugi-Hibi conjecture.
The only toric 2-Fano manifold with m(X)=2 is the projective plane P^2.
The nth Amitsur group is a stable G-birational invariant of smooth projective G-varieties over char-0 fields for all n≥2.
A combinatorial description is given for equivariant quasicoherent sheaves on toric prevarieties.
If a smooth projective toric variety of dimension n≥2 satisfies uniform unimodularity and Thomsen stratification intersection-number conditions, then any line bundle L with L·C ≥ n-1+p on every T-invariant curve satisfies Property N_p.
Tall complexity one T-spaces with k-colorable skeletons allow recovery of skeleton data from the one-skeleton and construction of toric manifolds from injective open-closed subsets.
citing papers explorer
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Fence Complexes and Toric Degenerations of Positroid Varieties
Fence complexes are associated to positroid varieties, shown to be balls with matching Ehrhart and Hilbert polynomials, and positroid varieties degenerate to reduced unions of toric varieties corresponding to the complexes.
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Frobenius identities for the volume map on Cohen--Macaulay rings
Frobenius identities for the volume map on Cohen-Macaulay rings give sufficient conditions for anisotropy and Hard Lefschetz in Gorenstein quotients and deduce the g-theorem for simplicial spheres plus the Ohsugi-Hibi conjecture.
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On the classification of toric $2$-Fano manifolds: generic $\mathbb{P}^2$-bundles
The only toric 2-Fano manifold with m(X)=2 is the projective plane P^2.
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Birational invariance of higher Amitsur groups
The nth Amitsur group is a stable G-birational invariant of smooth projective G-varieties over char-0 fields for all n≥2.
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Equivariant sheaves on toric prevarieties
A combinatorial description is given for equivariant quasicoherent sheaves on toric prevarieties.
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On Property $N_p$ of line bundles on smooth projective toric varieties
If a smooth projective toric variety of dimension n≥2 satisfies uniform unimodularity and Thomsen stratification intersection-number conditions, then any line bundle L with L·C ≥ n-1+p on every T-invariant curve satisfies Property N_p.
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Tall Complexity One Spaces with k-colorable Skeleton
Tall complexity one T-spaces with k-colorable skeletons allow recovery of skeleton data from the one-skeleton and construction of toric manifolds from injective open-closed subsets.