Ampleness of two-sided tilting complexes
Ampleness of two-sided tilting complexes
From the view point of noncommutative algebraic geometry (NCAG), a two-sided tilting complex is an analog of a line bundle. In this paper, we define the notion of ampleness for two-sided tilting complexes over finite-dimensional algebras of finite global dimension, and prove its basic properties, which justify the name "ampleness". …