Jian He

activity

20082026

most citedTorsion pairs and recollements of extriangulated categories

2 citations · 9 across the 23 of their papers we have counts for

collaborators

23 papers

math.RT2026

A pre- $(n + 2)$ -angulated category which is not $(n + 2)$ -angulated

Jian He, Jing He, Panyue Zhou

We construct an explicit pre- $9$ -angulated category which is not $9$ -angulated, thereby giving a genuinely higher counterexample to the implication from pre- $(n + 2)$ -angulated to $(…

math.RT2026

Auslander-Reiten (n+2)-angles and local finiteness

Jian He, Yu-Zhe Liu, Panyue Zhou

Let $C$ be an $(n + 2)$ -angulated category. Zhou proved that, when $n$ is odd, if the Auslander-Reiten $(n + 2)$ -angles generate the relations for the Grothendieck group of $\…

math.RT2024

Higher Auslander-Reiten sequences revisited

Jian He, Hangyu Yin, Panyue Zhou

Let $(C, E, s)$ be an $n$ -exangulated category with enough projectives and enough injectives, and $X$ be a cluster-tilting subcategory of $\ma…

math.CO2024

The structure of Hurwitz numbers with fixed ramification profile and varying genus

Norman Do, Jian He, Heath Robertson

In 1891, Hurwitz introduced the enumeration of genus $g$ , degree $d$ , branched covers of the Riemann sphere with simple ramification over prescribed points and no branching elsewhe…

math.RT2024

$n$ -cotorsion pairs and recollements of extriangulated categories

Jian He, Jing He

In this article, we prove that if $(A, B, C)$ is a recollement of extriangulated categories, then $n$ -cotorsion pairs in $A$ and $C$ can…

math.NT2024

Non-Martingale Fixed-Point Processes for Iterated Monodromy Groups

Jianfei He, Zheng Zhu

We construct families of rational functions $f \colon \bP^1_k \to \bP^1_k$ of degree $d \geq 2$ over a perfect field $k$ whose associated fixed-point processes fail to be martingal…

A pre-(n+2)-angulated category which is not (n+2)-angulated