Relations in the Canonical Algebras on Surfaces

  • Kazuhiro Konno

    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.

Cite this article

Kazuhiro Konno, Relations in the Canonical Algebras on Surfaces. Rend. Sem. Mat. Univ. Padova 120 (2008), pp. 227–261

DOI 10.4171/RSMUP/120-13