Fermat's cubic, Klein's quartic and rigid complex manifolds of Kodaira dimension one

DOI10.25537/dm.2020v25.1241-1262zbMath1452.14035arXiv1912.09973MaRDI QIDQ2205218

Christian Gleissner, Ingrid C. Bauer

Publication date: 20 October 2020

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09973

zbMATH Keywords

deformation theorytoric geometryquotient singularitiesrigid complex manifolds

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05) Group actions on varieties or schemes (quotients) (14L30) Families, moduli, classification: algebraic theory (14J10) Compact complex surfaces (32J15) (n)-folds ((n>4)) (14J40) Local deformation theory, Artin approximation, etc. (14B12) Deformations of special (e.g., CR) structures (32G07)

Related Items (2)

Towards a classification of rigid product quotient varieties of Kodaira dimension 0 ⋮ Rigid manifolds of general type with non-contractible universal cover

Cites Work

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• On the locally complete families of complex analytic structures
• Q.E.D. for algebraic varieties
• On rigid compact complex surfaces and manifolds
• On surfaces of class VII\(_0\)
• Local contributions to global deformations of surfaces
• Rigidity of quotient singularities
• Introduction to Toric Varieties. (AM-131)

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