Non-classical Godeaux surfaces

DOI10.1007/s00208-008-0284-6zbMath1165.14031arXiv0804.3353OpenAlexW2065472714MaRDI QIDQ1000595

Christian Liedtke

Publication date: 9 February 2009

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.3353

zbMATH Keywords

Picard schemeHodge invariants.non-classical Godeaux surfacessingular and supersingular Godeaux surfaces

Mathematics Subject Classification ID

Families, moduli, classification: algebraic theory (14J10) Surfaces of general type (14J29)

Related Items (6)

Exceptional collections, and the Néron-Severi lattice for surfaces ⋮ Automorphisms of smooth canonically polarized surfaces in positive characteristic ⋮ Numerical Godeaux surfaces with an involution in positive characteristic ⋮ A note on non-reduced Picard schemes ⋮ Positive characteristic algebraic geometry ⋮ Vector fields on canonically polarized surfaces

Cites Work

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• Classical Godeaux surface in characteristic \(p\)
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• Enriques' classification of surfaces in char p. III
• On unirationality of supersingular surfaces
• Canonical models of surfaces of general type
• Algebraic Surfaces of General Type with Small c²₁ in Positive Characteristic
• Nonclassical Godeaux Surfaces in Characteristic Five
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline

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