Winding number of \(r\)-modular sequences and applications to the singularity content of a Fano polygon

DOI10.2748/tmj.20200207OpenAlexW3139170007MaRDI QIDQ2234540

Akihiro Higashitani, Daniel Cavey

Publication date: 19 October 2021

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.10929

zbMATH Keywords

winding numbercyclic quotient singularitysingularity content\(r\)-modular sequenceFano polygon

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 in algebraic geometry (14B05) Fano varieties (14J45) Combinatorial aspects of algebraic geometry (05E14)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reflexive polytopes of higher index and the number 12
• One-parameter toric deformations of cyclic quotient singularities
• Threefolds and deformations of surface singularities
• The versal deformation of an isolated toric Gorenstein singularity
• Lattice multipolygons
• Lattice Polygons and the Number 12
• Mirror symmetry and the classification of orbifold del Pezzo surfaces
• Introduction to Toric Varieties. (AM-131)
• P-Resolutions of Cyclic Quotients from the Toric Viewpoint
• MINIMALITY AND MUTATION-EQUIVALENCE OF POLYGONS
• Restrictions on the singularity content of a Fano polygon

This page was built for publication: Winding number of \(r\)-modular sequences and applications to the singularity content of a Fano polygon