From standard monomial theory to semi-toric degenerations via Newton–Okounkov bodies
From MaRDI portal
Publication:4584303
DOI10.1090/mosc/273zbMath1397.14065arXiv1709.09734OpenAlexW2964347314MaRDI QIDQ4584303
Publication date: 30 August 2018
Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.09734
standard monomial theorydistributive latticeNewton-Okounkov bodyGrassmann varietytoric degenerationHibi variety
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Grassmannians, Schubert varieties, flag manifolds (14M15)
Related Items
Newton-Okounkov bodies for categories of modules over quiver Hecke algebras ⋮ Seshadri stratifications and standard monomial theory ⋮ LS algebras, valuations, and Schubert varieties ⋮ PBW degenerations, quiver Grassmannians, and toric varieties ⋮ Mini-workshop: Degeneration techniques in representation theory. Abstracts from the mini-workshop held October 6--12, 2019 ⋮ Gröbner fans of Hibi ideals, generalized Hibi ideals and flag varieties ⋮ Seshadri stratification for Schubert varieties and standard monomial theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
- Essential bases and toric degenerations arising from birational sequences
- PBW filtration and bases for irreducible modules in type \({\text{\textsf{A}}}_{n}\)
- Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes
- Introduction to the theory of standard monomials. With notes by Peter Littelmann and Pradeep Shukla. Appendix by V. Lakshmibai
- Chain polytopes and algebras with straightening laws
- Crystal bases and Newton-Okounkov bodies
- Two poset polytopes
- Geometry of G/P. V
- Combinatorial results on Demazure modules
- Degenerations of flag and Schubert varieties to toric varieties
- LS algebras and application to Schubert varieties
- Toric degenerations of Schubert varieties
- Toric degenerations of spherical varieties
- Singular loci of Grassmann-Hibi toric varieties
- The Grassmannian variety. Geometric and representation-theoretic aspects
- Okounkov bodies and toric degenerations
- Favourable modules: filtrations, polytopes, Newton-Okounkov bodies and flat degenerations
- Standard monomial theory. Invariant theoretic approach
- Lattice Theory: Foundation
- Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras
- Ideals, Varieties, and Algorithms
