Grothendieck weights on permutohedral varieties yield a motivic Chern class for hyperplane arrangement complements that depends only on the underlying matroid, enabling extension to abstract loopless matroids.
and Little, John B
7 Pith papers cite this work. Polarity classification is still indexing.
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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 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.
The integral Chow ring of M_0(P^r, 2) is presented as a quotient of a three-variable polynomial ring with all non-trivial relations encoded by two rational generating functions.
Derives quasi-polynomial formula for local Euler characteristics on A_n singularities via toric geometry and applies it to establish hyperbolicity properties for a family of surfaces in P^3.
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Grothendieck Weights on Permutohedral Varieties and Matroids
Grothendieck weights on permutohedral varieties yield a motivic Chern class for hyperplane arrangement complements that depends only on the underlying matroid, enabling extension to abstract loopless matroids.
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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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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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The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$
The integral Chow ring of M_0(P^r, 2) is presented as a quotient of a three-variable polynomial ring with all non-trivial relations encoded by two rational generating functions.
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Local Euler characteristics of $A_n$-singularities and their application to hyperbolicity
Derives quasi-polynomial formula for local Euler characteristics on A_n singularities via toric geometry and applies it to establish hyperbolicity properties for a family of surfaces in P^3.
- K-theory of Gieseker variety and type A cyclotomic Hecke algebra