Relations in the canonical algebras on surfaces (Q2389051)

Summary: 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 \textit{C. Ciliberto} [Rend. Semin. Mat., Torino 41, No. 3, 83--111 (1983; Zbl 0558.14025)] and \textit{M. Reid} [in: Algebraic geometry, Proc. Int. Conf., L'Aquila/Italy 1988, Lect. Notes Math. 1417, 214--286 (1990; Zbl 0714.14010)] are given.