标题： 奇点限制与三角范畴的射影分解 显示英文标题

标题： Singularity Confinement and Projective Resolution of Triangulated Category

摘要： 我们在之前的文章中提出，利用三角范畴的理论来刻画hirota-miwa方程。本文中我们进一步扩展了这一论点以支持这一想法。特别是，我们详细展示了孤立子约束（一种被提议用于刻画可积映射的现象）如何与三角范畴的投影分辨率相关联。 显示英文摘要

摘要： We proposed, in our previous paper, to characterize the Hirota-Miwa equation by means of the theory of triangulated category. We extend our argument in this paper to support the idea. In particular we show in detail how the singularity confinement, a phenomenon which was proposed to characterize integrable maps, can be associated with the projective resolution of the triangulated category.