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Graded Factorial Algebras of Dimension Two
Author(s) -
Kussin Dirk
Publication year - 1998
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609397003895
Subject(s) - mathematics , algebraically closed field , abelian group , rank (graph theory) , pure mathematics , affine transformation , dimension (graph theory) , factorial , mathematics subject classification , field (mathematics) , finitely generated abelian group , algebra over a field , projective test , combinatorics , mathematical analysis
Extending a theorem of S. Mori [ 6 ], we characterize two‐dimensional factorial algebras which are graded by a finitely generated abelian group of rank one and which are affine over an algebraically closed field. The result is related to the classification of weighted projective lines [ 2 , 5 ] and to the topic of canonical algebras [ 7 ]. 1991 Mathematics Subject Classification 13F15.