Reconstruction of singularities on orbifold del Pezzo surfaces from their Hilbert series

DOI10.1080/00927872.2019.1632335zbMath1473.14082arXiv1808.09596OpenAlexW2957030456MaRDI QIDQ5216208

Ben Wormleighton

Publication date: 17 February 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.09596

zbMATH Keywords

mirror symmetrydel Pezzo surfaceorbifold singularityHilbert series

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Graded rings (13A02) Fano varieties (14J45)

Related Items

Classification of minimal polygons with specified singularity content

Cites Work

• Minkowski polynomials and mutations
• A characterization of Gorenstein Hilbert functions in codimension four with small initial degree
• Threefolds and deformations of surface singularities
• Toric varieties, lattice points and Dedekind sums
• Higher dimensional Dedekind sums
• On the ubiquity of Gorenstein rings
• Mirror symmetry and the classification of orbifold del Pezzo surfaces
• Mutations of Fake Weighted Projective Planes
• Smoothable del Pezzo surfaces with quotient singularities
• Ice cream and orbifold Riemann-Roch
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