75 citations · 342 across the 34 of their papers we have counts for
3 papers · 2 filters
Orbifold Jacobian algebras for invertible polynomials
Alexey Basalaev, Atsushi Takahashi, Elisabeth Werner
An important invariant of a polynomial is its Jacobian algebra defined by its partial derivatives. Let be invariant with respect to the action of a finite group of diagonal…
On simply-laced generalized root systems
Shunsuke Nakamura, Yuuki Shiraishi, Atsushi Takahashi
We show the uniqueness and existence of the Euler form for a simply-laced generalized root system. This enables us to show that the Coxeter element for a simply-laced generalized r…
On the categorical entropy and the topological entropy
Kohei Kikuta, Atsushi Takahashi
To an exact endofunctor of a triangulated category with a split-generator, the notion of entropy is given by Dimitrov-Haiden-Katzarkov-Kontsevich, which is a (possibly negative inf…