Families of Gröbner degenerations, Grassmannians and universal cluster algebras
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Publication:2244741
DOI10.3842/SIGMA.2021.059MaRDI QIDQ2244741
Fatemeh Mohammadi, Alfredo Nájera Chávez, Lara Bossinger
Publication date: 12 November 2021
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.14972
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Grassmannians, Schubert varieties, flag manifolds (14M15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Fibrations, degenerations in algebraic geometry (14D06) Cluster algebras (13F60)
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Standard monomial theory and toric degenerations of Richardson varieties in the Grassmannian ⋮ Combinatorial mutations and block diagonal polytopes ⋮ Toric degenerations of Grassmannians and Schubert varieties from matching field tableaux ⋮ Toric degenerations of partial flag varieties and combinatorial mutations of matching field polytopes ⋮ Combinatorial mutations of Newton-Okounkov polytopes arising from plabic graphs ⋮ Combinatorial mutations of Gelfand-Tsetlin polytopes, Feigin-Fourier-Littelmann-Vinberg polytopes, and block diagonal matching field polytopes ⋮ Toric geometry. Abstracts from the workshop held March 27 -- April 2, 2022 ⋮ Adjacency for scattering amplitudes from the Gröbner fan ⋮ Quadratic Gröbner bases of block diagonal matching field ideals and toric degenerations of Grassmannians
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