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GRADED FACTORIAL ALGEBRAS OF DIMENSION TWO

Published online by Cambridge University Press:  01 March 1998

DIRK KUSSIN
Affiliation:
Fachbereich Mathematik-Informatik, Universität-GH Paderborn, 33095 Paderborn, Germany
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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].

Type
Research Article
Copyright
© The London Mathematical Society 1998

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