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Graded Factorial Algebras of Dimension Two

Graded Factorial Algebras of Dimension Two 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Graded Factorial Algebras of Dimension Two

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References (9)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/S0024609397003895
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Mar 1, 1998

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