A polar dual to the momentum of toric Fano manifolds

DOI10.1515/coma-2020-0116zbMath1468.14089OpenAlexW3185771492WikidataQ125113680 ScholiaQ125113680MaRDI QIDQ2049929

Yuji Sano

Publication date: 27 August 2021

Published in: Complex Manifolds (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/coma-2020-0116

zbMATH Keywords

Kähler-Einstein metricsFano polytopestoric Fano manifoldsFutaki invariant

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Fano varieties (14J45) Kähler-Einstein manifolds (32Q20)

Uses Software

• polymake

Cites Work

• Unnamed Item
• A new holomorphic invariant and uniqueness of Kähler-Ricci solitons
• Examples of Kähler-Einstein toric Fano manifolds associated to non-symmetric reflexive polytopes
• The number of vertices of a Fano polytope
• Complete toric varieties with reductive automorphism group
• Smooth Fano polytopes can not be inductively constructed
• Piecewise polynomials, Minkowski weights, and localization on toric varieties
• Einstein-Kähler forms, Futaki invariants and convex geometry on toric Fano varieties
• Bilinear forms and extremal Kähler vector fields associated with Kähler classes
• An obstruction to the existence of Einstein Kaehler metrics
• Kähler--Ricci solitons on toric manifolds with positive first Chern class
• Polymake and Lattice Polytopes
• Computing the Continuous Discretely
• Points entiers dans les polyèdres convexes
• Einstein-Kähler metrics on symmetric toric Fano manifolds
• Generating Smooth Lattice Polytopes

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