Rendiconti del Seminario Matematico della Università di Padova
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Relations in the Canonical Algebras on SurfacesKazuhiro Konno (1) Osaka University, Japan
The degree bound for primitive generators and relations of the canonical ring of a minimal surface of general type are studied via Green‚Äôs Koszul cohomology, assuming that the fixed part of the canonical linear system does not contain any Francia cycles. Slight refinements of the results due to Ciliberto and Reid are given.
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Konno Kazuhiro: Relations in the Canonical Algebras on Surfaces. Rend. Sem. Mat. Univ. Padova 120 (2008), 227-261. doi: 10.4171/RSMUP/120-13