Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-10T16:15:27.042Z Has data issue: false hasContentIssue false

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)