6 papers
Pellarin's Identity, Carlitz Period, and Anderson Generating Functions over Arbitrary Curves
Chuangqiang Hu, Stephen S. -T. Yau, Lishan Yu
Let \(A\) be the coefficient ring of a smooth projective curve over \(\mathbb{F}_q\) with a closed point at infinity of arbitrary degree \(\mathrm{N}=°(\infty)\ge 1\), and let \(φ\…
Geometric Realization of Finite Residue Casimirs and Weil Operators via Szegő Kernels
Chuangqiang Hu, Lishan Yu
For a smooth projective curve over a finite field with a fixed point at infinity, we establish a universal correspondence between finite residue duality and geometric kernel functi…
Rank-Two Drinfeld Modules over Elliptic Coordinate Rings
Chuangqiang Hu, Ze-Dong Huang, Chang-An Zhao
Let be the affine coordinate ring of , where is an elliptic curve over and is rational. We solve the rank-two case of…
Anderson generating function of rank-one Drinfeld Module over rational function fields
Chuangqiang Hu, Xiao-Min Huang, Stephen S. -T. Yau
We establish a fundamental breakthrough in rank-one Drinfeld module arithmetic by deriving explicit formulas over the integral domain $\A = H^{0}(\mathbb{P}^1-P_ρ, \mathcal{O}_{\ma…
Groupoids derived from the simple elliptic singularities
Chuangqiang Hu, Stephen S. -T. Yau, Huaiqing Zuo
K. Saito's classification of simple elliptic singularities includes three families of weighted homogeneous singularities: , and . For ea…
On the -th Tjurina number of weighted homogeneous singularities
Chuangqiang Hu, Stephen S. -T. Yau, Huaiqing Zuo
Let denote an isolated singularity defined by a weighted homogeneous polynomial . Let be the local algebra of holomorphic function germs at the origin…