6 papers
Cluster Morita theorem for negative cluster categories
Riku Fushimi
Fix an integer . We characterize Hom-finite algebraic triangulated categories admitting a -simple-minded system as stable categories of…
A classification of derived-discrete graded algebras
Riku Fushimi, Bohan Xing
A finite-dimensional algebra is derived-discrete, in the sense of Vossieck, precisely when it is a piecewise hereditary algebra of Dynkin type or a gentle one-cycle algebra not sat…
Silting-discrete graded path algebras
Riku Fushimi
We classify connected finite acyclic graded quivers for which the graded path algebra , regarded as a formal dg algebra, is silting-discrete. We prove that is silting-…
Silting theory and derived base change
Riku Fushimi
We show that the silting theory of a locally finitely generated non-positive dg algebra over a complete local noetherian dg ring is determined by its derived closed fiber. More gen…
Contravariant Koszul duality between non-positive and positive dg algebras
Riku Fushimi
The Koszul dual of locally finite non-positive dg algebra is locally finite positive dg algebra. However, the Koszul dual of locally finite positive dg algebra is not necessary loc…
The correspondence between silting objects and -structures for non-positive dg algebras
Riku Fushimi
We establish a bijective correspondence between isomorphism classes of basic silting objects of and algebraic -structures of for local…