Rendiconti del Seminario Matematico della Università di Padova

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Volume 120, 2008, pp. 227–261
DOI: 10.4171/RSMUP/120-13

Relations in the Canonical Algebras on Surfaces

Kazuhiro Konno[1]

(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’s 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