Interpretation of the deformation space of a determinantal Barlow surface via smoothings

DOI10.1090/S0002-9939-01-06267-0zbMath0996.14016OpenAlexW1551870708MaRDI QIDQ2781241

Yongnam Lee

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06267-0

zbMATH Keywords

deformationsimply connected surface of general typedeterminantal Barlow surfacetrivial fundamental group

Mathematics Subject Classification ID

Determinantal varieties (14M12) Singularities of surfaces or higher-dimensional varieties (14J17) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Families, moduli, classification: algebraic theory (14J10) Surfaces of general type (14J29) Special surfaces (14J25) Formal methods and deformations in algebraic geometry (14D15)

Related Items (3)

A FAMILY OF SURFACES CONSTRUCTED FROM GENUS 2 CURVES ⋮ The Craighero–Gattazzo surface is simply connected ⋮ Determinantal Barlow surfaces and phantom categories

Cites Work

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• Some examples of nonsmoothable varieties with normal crossings
• On the moduli spaces of surfaces of general type. Appendix: Letter of E. Bombieri written to the author
• Global smoothings of varieties with normal crossings
• Babbage's conjecture, contact of surfaces, symmetric determinantal varieties and applications
• On the scalar curvature of Einstein manifolds
• A simply connected surface of general type with \(p_ g=0\)
• Connected sums of self-dual manifolds and deformations of singular spaces
• Bicanonical pencil of a determinantal Barlow surface

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