Qi Wang
Published 2022-06-01Version 1
In this paper, we explain a strategy in silting theory to discover some new minimal $\tau$-tilting infinite two-point algebras. Consequently, the $\tau$-tilting finiteness of various two-point monomial algebras, including all radical cube zero cases, could be determined. In the process of proof, it is seen that the derived equivalence class of the Kronecker algebra contains only itself and its opposite algebra.
Comments: 25 pages, comments are welcome
$τ$-tilting finiteness of two-point algebras I
$τ$-tilting finiteness and $\mathbf{g}$-tameness: Incidence algebras of posets and concealed algebras
$τ$-tilting finiteness of biserial algebras
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