On the canonical ring of curves and surfaces

DOI10.1007/s00229-012-0553-2zbMath1267.14041arXiv1107.0579OpenAlexW2593968674MaRDI QIDQ1942243

Marco Franciosi

Publication date: 18 March 2013

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

Full work available at URL: https://arxiv.org/abs/1107.0579

zbMATH Keywords

curvessurfaces of general typecanonical ring

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Surfaces of general type (14J29) Divisors, linear systems, invertible sheaves (14C20)

Related Items (3)

Gorenstein stable surfaces with KX2=1 and pg>0 ⋮ The canonical ring of a 3-connected curve ⋮ Canonical rings of Gorenstein stable Godeaux surfaces

Cites Work

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• The rank of the second Gaussian map for general curves
• Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
• Canonical fixed parts of fibred algebraic surfaces
• On Petri's analysis of the linear system of quadrics through a canonical curve
• Remarks on the bicanonical map for surfaces of general type
• Adjoint divisors on algebraic curves. (Appendix A by F. Catanese)
• Brill-Noether theory of binary curves
• Relations in the canonical algebras on surfaces
• 1-2-3 theorem for curves on algebraic surfaces
• Fibrations of low genus, I
• Embeddings of curves and surfaces
• On property \(N_p\) for algebraic curves

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