activity
20122026
most citedKodaira dimensions of almost complex manifolds II

18 citations · 25 across the 11 of their papers we have counts for

collaborators

11 papers

cs.IT2026

On the Maximal Length of MDS Elliptic Codes

Haojie Chen, Chuangqiang Hu, Junjie Huang +1

The determination of the maximal length of maximum distance separable (MDS) codes arising from elliptic curves is a central problem in coding theory. For an elliptic curve over…

math.NT2026

A Note on Cyclotomic Function Fields with Quadratic Modulus

Haojie Chen, Chuangqiang Hu

A longstanding and important problem in algebraic geometry is the characterization of algebraic function fields. In this paper, we focus on the characterization problem for cycloto…

math.SP2025

-eigenvalues of Hermitian tensors and some applications

Haojie Chen, Yang Yang

We introduce -eigenvalue for -th order -dimensional complex tensors. Then we determine several checkable inclusion sets for -eigenvalues and derive some cr…

cs.IT2025

Linear Complementary Pairs of Algebraic Geometry Codes via Kummer Extensions

Huang Junjie, Chen Haojie, Zhang Huachao +1

Due to their widespread applications, linear complementary pairs (LCPs) have attracted much attention in recent years. In this paper, we determine explicit construction of non-spec…

math.DG2022

Compact Hermitian surfaces with pointwise constant Gauduchon holomorphic sectional curvature

Haojie Chen, Xiaolan Nie

Motivated by a recent work of Chen-Zheng [8] on Strominger space forms, we prove that a compact Hermitian surface with pointwise constant holomorphic sectional curvature with respe…

math.DG2021

Liouville Theorems for holomorphic maps on pseudo-Hermitian manifolds

Haojie Chen, Yibin Ren

We prove some Liouville type results for generalized holomorphic maps in three classes: maps from pseudo-Hermitian manifolds to almost Hermitian manifolds, maps from almost Hermiti…

math.DG2021★ 1 cited

Schwarz lemma: the case of equality and an extension

Haojie Chen, Xiaolan Nie

We prove two results related to the Schwarz lemma in complex geometry. First, we show that if the inequality in the Schwarz lemmata of Yau, Royden and Tosatti becomes equality at o…

math.DG2020★ 18 cited

Kodaira dimensions of almost complex manifolds II

Haojie Chen, Weiyi Zhang

This is the second of a series of papers where we study the plurigenera, the Kodaira dimension and the Iitaka dimension on compact almost complex manifolds. By using the pseudoholo…

math.DG2019★ 1 cited

Chern-Ricci curvatures, holomorphic sectional curvature and Hermitian metrics

Haojie Chen, Lingling Chen, Xiaolan Nie

We present some formulae related to the Chern-Ricci curvatures and scalar curvatures of special Hermitian metrics. We prove that a compact locally conformal Kähler manifold with co…

math.DG2018★ 4 cited

Kodaira dimensions of almost complex manifolds I

Haojie Chen, Weiyi Zhang

This is the first of a series of papers, in which we study the plurigenera, the Kodaira dimension and more generally the Iitaka dimension on compact almost complex manifolds. Based…

math.DG2012★ 1 cited

Odd type generalized complex structures on 4-manifolds

Haojie Chen, Xiaolan Nie

We prove that a compact smooth 4-manifold admits generalized complex structures of odd type if and only if it has a transversely holomorphic 2-foliation. Consequently, there exist…