Toric degenerations of partial flag varieties and combinatorial mutations of matching field polytopes
From MaRDI portal
Publication:6066473
DOI10.1016/j.jalgebra.2023.09.026zbMath1529.14028arXiv2206.13975MaRDI QIDQ6066473
Fatemeh Mohammadi, Oliver Clarke, Francesca Zaffalon
Publication date: 16 November 2023
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.13975
Grassmannians, Schubert varieties, flag manifolds (14M15) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minkowski polynomials and mutations
- Cellular resolutions from mapping cones
- Stiefel tropical linear spaces
- Weakly polymatroidal ideals with applications to vertex cover ideals
- Monomial ideals and toric rings of Hibi type arising from a finite poset
- How to draw tropical planes
- A unique exchange property for bases
- Toric ideals generalized by quadratic binomials
- Degenerations of flag and Schubert varieties to toric varieties
- Computing toric degenerations of flag varieties
- Toric degeneration of Schubert varieties and Gelfand--Tsetlin polytopes
- Maximal minors and their leading terms
- Quadratic Gröbner bases of block diagonal matching field ideals and toric degenerations of Grassmannians
- Algebraic geometry I. Schemes. With examples and exercises
- Toric degenerations of flag varieties from matching field tableaux
- Combinatorial mutations and block diagonal polytopes
- Toric degenerations of Grassmannians and Schubert varieties from matching field tableaux
- Linear degenerations of flag varieties: partial flags, defining equations, and group actions
- Standard monomial theory and toric degenerations of Schubert varieties from matching field tableaux
- Tropical flag varieties
- Families of Gröbner degenerations, Grassmannians and universal cluster algebras
- Toric degenerations of Grassmannians from matching fields
- Newton-Okounkov bodies, cluster duality, and mirror symmetry for Grassmannians
- Okounkov bodies and toric degenerations
- Full-Rank Valuations and Toric Initial Ideals
- The tropical Grassmannian
- Toric degenerations of cluster varieties and cluster duality
- Khovanskii Bases, Higher Rank Valuations, and Tropical Geometry
This page was built for publication: Toric degenerations of partial flag varieties and combinatorial mutations of matching field polytopes
