Reflexivity of Newton–Okounkov bodies of partial flag varieties
From MaRDI portal
Publication:5106070
DOI10.1090/ert/621zbMath1498.17019arXiv1902.07105OpenAlexW2916681299MaRDI QIDQ5106070
Publication date: 16 September 2022
Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.07105
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Grassmannians, Schubert varieties, flag manifolds (14M15) Classical groups (algebro-geometric aspects) (14L35)
Related Items
Small toric resolutions of toric varieties of string polytopes with small indices, The Minkowski property and reflexivity of marked poset polytopes
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
- Newton-Okounkov convex bodies of Schubert varieties and polyhedral realizations of crystal bases
- Essential bases and toric degenerations arising from birational sequences
- PBW filtration and bases for irreducible modules in type \({\text{\textsf{A}}}_{n}\)
- Crystal bases and Newton-Okounkov bodies
- Tensor product multiplicities and convex polytopes in partition space
- Equivalence of mirror families constructed from toric degenerations of flag varieties
- Cones, crystals, and patterns
- Dual polytopes of rational convex polytopes
- Polyhedral realizations of crystal bases for quantized Kac-Moody algebras
- Degenerations of flag and Schubert varieties to toric varieties
- Mirror symmetry and toric degenerations of partial flag manifolds
- Tensor product multiplicities, canonical and totally positive varieties
- Toric degenerations of Schubert varieties
- Toric degenerations of spherical varieties
- Toric degeneration of Schubert varieties and Gelfand--Tsetlin polytopes
- Brunn-Minkowski inequality for multiplicities
- Newton-Okounkov bodies, cluster duality, and mirror symmetry for Grassmannians
- Essential signatures and canonical bases of irreducible representations of the group \(G_2\)
- Okounkov bodies and toric degenerations
- Lie algebra cohomology and the generalized Borel-Weil theorem
- Favourable modules: filtrations, polytopes, Newton-Okounkov bodies and flat degenerations
- Newton-Okounkov polytopes of flag varieties
- A diagrammatic approach to string polytopes
- PBW Filtration and Bases for Symplectic Lie Algebras
- On the Valuations Centered in a Local Domain
- Computing the Continuous Discretely
- Canonical Bases Arising from Quantized Enveloping Algebras
- Convex bodies associated to linear series
- Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
- Toric Degenerations of Fano Varieties and Constructing Mirror Manifolds
- Khovanskii Bases, Higher Rank Valuations, and Tropical Geometry
- Introduction to Lie Algebras and Representation Theory
- Essential Signatures and Monomial Bases for $B_n$ and $D_n$
- Linear algebraic groups.
