2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102171We give another proof of a theorem of H. Kajiura, K. Saito, and A. Takahashi based on the theory of weighted projective lines by Geigle and Lenzing and a theorem of Orlov on triangulated categories of graded B-branes. The content of this paper appears in the appendix to math.AG/0511155.The content of this paper appears in the appendix to math.AG/0511155Algebraic Geometry14J32; 18E30text