Ice cream and orbifold Riemann-Roch

DOI10.1070/IM2013v077n03ABEH002644zbMath1273.14023arXiv1208.0457MaRDI QIDQ5327392

Shengtian Zhou, Miles Reid, Anita Buckley

Publication date: 7 August 2013

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0457

zbMATH Keywords

orbifoldDedekind sumHilbert seriesorbifold Riemann-Rochweighted projective varieties

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Generalizations (algebraic spaces, stacks) (14A20)

Related Items (12)

Hilbert series, machine learning, and applications to physics ⋮ Numerical adjunction formulas for weighted projective planes and lattice point counting ⋮ Gorenstein Formats, Canonical and Calabi–Yau Threefolds ⋮ Projective orbifolds of Nikulin type ⋮ Characterizing terminal Fano threefolds with the smallest anti-canonical volume ⋮ Biregular models of log Del Pezzo surfaces with rigid singularities ⋮ Constructing Fano 3-folds from cluster varieties of rank 2 ⋮ Dedekind sums and parsing of Hilbert series ⋮ Spin canonical rings of log stacky curves ⋮ Computing isolated orbifolds in weighted flag varieties ⋮ Fano 3-folds in \(\mathbb{P}^2\times\mathbb{P}^2\) format, Tom and Jerry ⋮ Reconstruction of singularities on orbifold del Pezzo surfaces from their Hilbert series

Cites Work

• Three-fold divisorial contractions to singularities of higher indices
• On the plurigenera of minimal algebraic 3-folds with \(K\equiv 0\)
• The Riemann-Roch theorem for complex V-manifolds
• Riemann-Roch theorems for Deligne-Mumford stacks
• The index of elliptic operators. II
• The index of elliptic operators. III
• On quasismooth weighted complete intersections
• Gromov-Witten theory of Deligne-Mumford stacks
• Some remarks concerning Demazure’s construction of normal graded rings
• Biregular classification of Fano 3-folds and Fano manifolds of coindex 3
• The Beilinson complex and canonical rings of irregular surfaces
• Riemann-Roch for Deligne-Mumford stacks
• Orbifold Riemann--Roch for threefolds with an application to Calabi--Yau geometry
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