Toric degenerations and symplectic geometry of smooth projective varieties

DOI10.1112/jlms.12173zbMath1497.14016arXiv1508.00316OpenAlexW3103363842WikidataQ129229586 ScholiaQ129229586MaRDI QIDQ5376509

Kiumars Kaveh

Publication date: 10 May 2019

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00316

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Symplectic manifolds (general theory) (53D05) Fibrations, degenerations in algebraic geometry (14D06)

Related Items (7)

Multipoint Okounkov bodies ⋮ Differential geometry of weightings ⋮ Generalized flatness constants, spanning lattice polytopes, and the Gromov width ⋮ Newton–Okounkov bodies and symplectic embeddings into nontoric rational surfaces ⋮ Okounkov bodies and the Kähler geometry of projective manifolds ⋮ Canonical growth conditions associated to ample line bundles ⋮ Toric degenerations in symplectic geometry

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Okounkov bodies for ample line bundles with applications to multiplicities for group representations
• Okounkov bodies and Seshadri constants
• Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
• Positivity of line bundles and Newton-Okounkov bodies
• Gromov width of non-regular coadjoint orbits of \(\mathrm{U}(n)\), \(\mathrm{SO}(2n)\) and \(\mathrm{SO}(2n + 1)\)
• Integrable systems, toric degenerations and Okounkov bodies
• Crystal bases and Newton-Okounkov bodies
• Toric degenerations of Gelfand-Cetlin systems and potential functions
• Pseudo holomorphic curves in symplectic manifolds
• The number of roots of a system of equations
• Polyedres de Newton et nombres de Milnor
• Symplectic packings and algebraic geometry
• Degenerations of flag and Schubert varieties to toric varieties
• Local positivity of linear series on surfaces
• Toric degenerations of spherical varieties
• Brunn-Minkowski inequality for multiplicities
• Okounkov bodies and toric degenerations
• An invitation to toric degenerations
• Okounkov Bodies of Finitely Generated Divisors
• Convex bodies associated to linear series
• Angular momentum, convex Polyhedra and Algebraic Geometry
• Simplices in Newton–Okounkov bodies and the Gromov width of coadjoint orbits
• Symplectic packing constructions

This page was built for publication: Toric degenerations and symplectic geometry of smooth projective varieties