Toric modifications of cyclic orbifolds and an extended Zagier reciprocity for Dedekind sums

DOI10.2748/tmj/1446818556zbMath1332.11050OpenAlexW2193934112MaRDI QIDQ899700

Tadashi Ashikaga

Publication date: 30 December 2015

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

Full work available at URL: https://projecteuclid.org/euclid.tmj/1446818556

zbMATH Keywords

signaturesingularityorbifoldDedekind sumtoric geometryreciprocity

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Index theory and related fixed-point theorems on manifolds (58J20) Dedekind eta function, Dedekind sums (11F20) Relations with algebraic geometry and topology (11F23) Topology and geometry of orbifolds (57R18)

Related Items

Numerical adjunction formulas for weighted projective planes and lattice point counting ⋮ Fujiki-Oka resolution for three-dimensional cyclic quotient singularities via binary trees ⋮ Multidimensional continued fractions for cyclic quotient singularities and Dedekind sums ⋮ Toric modifications of cyclic orbifolds and an extended Zagier reciprocity for Dedekind sums

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