6 papers
Relation between Anderson Generating Functions and Weil Pairing
Chuangqiang Hu, Yixuan Ou-Yang
The existence of the Weil pairing for Drinfeld modules was proved by van~der~Heiden using the Anderson -motive. Papikian's note provided the explicit formula for the rank-two We…
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…
Infinitesimal deformations of Lie algebroid pairs
Dadi Ni, Zhuo Chen, Chuangqiang Hu +1
We study infinitesimal deformations of Lie algebroid pairs in the category of smooth manifolds enriched with a local Artinian algebra. Given a Lie algebroid pair , i.e. a Li…
New optimal function field towers over finite fields of quartic power
Chuangqiang Hu, Xiuwu Zhu
We introduce two new types of towers of Drinfeld modular curves. These towers originate from a specific domain and are analogous to the towers of rank-two Drinfeld m…
Drinfeld Module and Weil pairing over Dedekind domain of class number two
Chuangqiang Hu, Xiao-Min Huang
The primary objective of this paper is to derive explicit formulas for rank one and rank two Drinfeld modules over a specific domain denoted by A. This domain corresponds to the pr…
Drinfeld Modular Curves Subordinate to Conjugacy Classes of Nilpotent Upper-Triangular Matrices
Zhuo Chen, Chuangqiang Hu, Tao Zhang +1
We introduce normalized Drinfeld modular curves that parameterize rank Drinfeld modules compatible with a -torsion structure arising from a given conjugacy class of nilpoten…