SAGBI bases and degeneration of spherical varieties to toric varieties

DOI10.1307/mmj/1114021088zbMath1076.14071arXivmath/0309413OpenAlexW2047789112MaRDI QIDQ558703

Kiumars Kaveh

Publication date: 13 July 2005

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309413

zbMATH Keywords

Gelfand-Tsetlin polytope

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Homogeneous spaces and generalizations (14M17) 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)

Related Items

Okounkov bodies and toric degenerations, A new class of finitely generated polynomial subalgebras without finite SAGBI bases, Integrable systems, toric degenerations and Okounkov bodies, Crystal bases and Newton-Okounkov bodies, Standard monomial theory for flag algebras of GL\((n)\)and Sp\((2n)\), Standard monomial bases and degenerations of \(SO_m(\mathbb C)\) representations, On the geometry of spherical varieties, Toric degeneration of branching algebras, Newton-Okounkov bodies, cluster duality, and mirror symmetry for Grassmannians, Khovanskii Bases, Higher Rank Valuations, and Tropical Geometry

Cites Work

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