Classification of minimal polygons with specified singularity content

DOI10.1007/978-3-030-98327-7_5zbMath1502.14123arXiv1703.05266OpenAlexW2596071403MaRDI QIDQ2106286

Edwin Kutas, Daniel Cavey

Publication date: 14 December 2022

Full work available at URL: https://arxiv.org/abs/1703.05266

zbMATH Keywords

Fano varietymutationqG-deformationsingularity content

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) Singularities of surfaces or higher-dimensional varieties (14J17) Fano varieties (14J45) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items

Del Pezzo surfaces with a single \(1/k(1,1)\) singularity

Uses Software

• SageMath

Cites Work

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• Mirror symmetry and the classification of orbifold del Pezzo surfaces
• Mirror Symmetry and Fano Manifolds
• On the combinatorial classification of toric log del Pezzo surfaces
• Introduction to Toric Varieties. (AM-131)
• MINIMALITY AND MUTATION-EQUIVALENCE OF POLYGONS
• Reconstruction of singularities on orbifold del Pezzo surfaces from their Hilbert series

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