On the Bogomolov-Miyaoka-Yau inequality for stacky surfaces

DOI10.11650/tjm/190802zbMath1460.14084arXiv1101.3481OpenAlexW2966967204MaRDI QIDQ2663349

Hsian-Hua Tseng, Jiun-Cheng Chen

Publication date: 16 April 2021

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3481

zbMATH Keywords

Deligne-Mumford stacksBogomolov-Miyaoka-Yau inequality

Mathematics Subject Classification ID

Surfaces of general type (14J29) Generalizations (algebraic spaces, stacks) (14A20)

Related Items (3)

Riemann-Roch coefficients for Kleinian orbisurfaces ⋮ On the Bogomolov-Gieseker inequality for tame Deligne-Mumford surfaces ⋮ Characteristic classes and stability conditions for projective Kleinian orbisurfaces

Cites Work

• Moduli of twisted orbifold sheaves
• Intersection theory on algebraic stacks and on their moduli spaces
• Orbifold quantum Riemann-Roch, Lefschetz and Serre
• The maximal number of quotient singularities on surfaces with given numerical invariants
• Riemann-Roch theorems for Deligne-Mumford stacks
• Cycle groups for Artin stacks
• Compactifying the space of stable maps
• Smooth toric Deligne-Mumford stacks
• THE BOGOMOLOV–MIYAOKA–YAU INEQUALITY FOR LOG CANONICAL SURFACES
• Uniformization of Deligne-Mumford curves
• LOGARITHMIC ORBIFOLD EULER NUMBERS OF SURFACES WITH APPLICATIONS
• A “Bottom Up” Characterization of Smooth Deligne–Mumford Stacks
• On the Chern numbers of surfaces of general type

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