Algorithm for construction of volume forms on toric varieties starting from a convex integer polytope

DOI10.1134/S0361768816020055zbMath1370.14044MaRDI QIDQ2628791

T. V. Zykova, A. V. Shchuplev, Alexey A. Kytmanov

Publication date: 15 July 2016

Published in: Programming and Computer Software (Search for Journal in Brave)

zbMATH Keywords

Newton polytopeintegral representationvolume formFubini-Study metricfan of toric variety

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25)

Uses Software

• Maple

Cites Work

• Averaging of the Cauchy kernels and integral realization of the local residue
• The topology of torus actions on symplectic manifolds. Transl. from the French by the author
• An algorithm for constructing toric compactifications
• Residual kernels with singularities on coordinate planes
• Introduction to Toric Varieties. (AM-131)
• Quantum Cohomology Rings of Toric Manifolds
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