Generalized Laurent monomials in nonrational toric geometry

DOI10.1090/conm/794/15927arXiv2212.11104OpenAlexW4391547935MaRDI QIDQ6120748

Fiammetta Battaglia, Elisa Prato

Publication date: 21 February 2024

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.11104

zbMATH Keywords

toric varietynonrational polytopetoric quasifoldnonrational fanLaurent monomial

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Momentum maps; symplectic reduction (53D20)

Cites Work

• The symplectic Penrose kite
• Pentaplexity. A class of non-periodic tilings of the plane
• The topology of torus actions on symplectic manifolds. Transl. from the French by the author
• Moment maps and combinatorial invariants of Hamiltonian \(T^ n\)-spaces
• Hirzebruch surfaces in a one-parameter family
• Quasifolds, diffeology and noncommutative geometry
• Symplectic toric geometry and the regular dodecahedron
• Toric geometry of the regular convex polyhedra
• Hamiltoniens périodiques et images convexes de l'application moment
• THE GEOMETRY OF TORIC VARIETIES
• Sur une généralisation de la notion de V-variété
• Lectures on Polytopes
• Nonrational symplectic toric cuts
• Sous-groupes algébriques de rang maximum du groupe de Cremona
• Simple non-rational convex polytopes via symplectic geometry
• Toric quasifolds
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