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.
Cite this article
Kazuhiro Konno, Relations in the Canonical Algebras on Surfaces. Rend. Sem. Mat. Univ. Padova 120 (2008), pp. 227–261DOI 10.4171/RSMUP/120-13