Akihiro Higashitani

activity

20232025

collaborators

5 papers

math.RT2025

Fans and polytopes in tilting theory III: Classification of convex $g$ -fans of rank 3

Toshitaka Aoki, Akihiro Higashitani, Osamu Iyama +2

The $g$ -fan $Σ (A)$ of a finite dimensional algebra $A$ is a non-singular fan in its real Grothendieck group, defined by tilting theory. If the union $P (A)$ of the simplices a…

math.CO2025

Order polytopes of graded posets are gamma-effective

Alessio D'Alì, Akihiro Higashitani

Order polytopes of posets have been a very rich topic at the crossroads between combinatorics and discrete geometry since their definition by Stanley in 1986. Among other notable r…

math.CO2025

New kinds of block diagonal matching fields and toric degenerations of Grassmannians

Akihiro Higashitani, Nobukazu Kowaki

Block diagonal matching field has many previous works. In general, a coherent matching field induces a monomial order to Plücker algebra, and block diagonal matching fields are a k…

math.AC2024

Binomial edge rings of complete bipartite graphs

Akihiro Higashitani

We introduce a new class of algebras arising from graphs, called binomial edge rings. Given a graph $G$ on $d$ vertices with $n$ edges, the binomial edge ring of $G$ is defined to…

math.AC2023

$h$ -vectors of edge rings of odd-cycle compositions

Kieran Bhaskara, Akihiro Higashitani, Nayana Shibu Deepthi

Let $K [G]$ be the edge ring of a finite simple graph $G$ . Investigating properties of the $h$ -vector of $K [G]$ is of great interest in combinatorial commutative a…

Fans and polytopes in tilting theory III: Classification of convex g-fans of rank 3

Order polytopes of graded posets are gamma-effective

New kinds of block diagonal matching fields and toric degenerations of Grassmannians

Binomial edge rings of complete bipartite graphs

h-vectors of edge rings of odd-cycle compositions

Fans and polytopes in tilting theory III: Classification of convex $g$ -fans of rank 3

$h$ -vectors of edge rings of odd-cycle compositions