τ-Tilting finiteness of two-point algebras II

Abstract

In this paper, we explain a strategy on [Formula: see text]-vectors to discover some new minimal [Formula: see text]-tilting infinite two-point algebras. Consequently, the [Formula: see text]-tilting finiteness of various two-point monomial algebras, including all radical cube zero cases, could be determined. Moreover, we find that the derived equivalence class of the Kronecker algebra contains only itself and its opposite algebra.