Open AccessRelations in the Canonical Algebras on Surfaces
Author(s) -
Kazuhiro Konno
Publication year - 2008
Publication title -
rendiconti del seminario matematico della università di padova
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 24
eISSN - 0373-319X
pISSN - 0041-8994
DOI - 10.4171/rsmup/120-13
Subject(s) - mathematics , cohomology , pure mathematics , ring (chemistry) , type (biology) , surface (topology) , cohomology ring , algebra over a field , geometry , chemistry , equivariant cohomology , ecology , organic chemistry , biology
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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