Riku Fushimi

activity

20242026

collaborators

5 papers

math.RT2026

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…

math.RT2026

Silting-discrete graded path algebras

Riku Fushimi

We classify connected finite acyclic graded quivers $Q$ for which the graded path algebra $k Q$ , regarded as a formal dg algebra, is silting-discrete. We prove that $k Q$ is silting-…

math.RT2026

Silting theory and derived base change

Riku Fushimi

For finite-dimensional algebras over a field, Koenig and Yang established a bijection between silting complexes and simple-minded collections in the bounded derived category, with…

math.RT2025

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…

math.RT2024

The correspondence between silting objects and $t$ -structures for non-positive dg algebras

Riku Fushimi

We establish a bijective correspondence between isomorphism classes of basic silting objects of $per (A)$ and algebraic $t$ -structures of $D_{fd} (A)$ for local…

A classification of derived-discrete graded algebras

Silting-discrete graded path algebras

Silting theory and derived base change

Contravariant Koszul duality between non-positive and positive dg algebras

The correspondence between silting objects and t-structures for non-positive dg algebras

The correspondence between silting objects and $t$ -structures for non-positive dg algebras