15 citations · 15 across the 9 of their papers we have counts for
11 papers
Yau's number-theoretic conjecture and sharp spectral bounds for quantum harmonic oscillators
Zhiwen Liu, Stephen S. -T. Yau, Hao Zuo
We prove Yau's number-theoretic conjecture on positive integral points in real right simplices in every dimension , and apply the resulting sharp polynomial bound to quantum…
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\…
Derivations of Generalized Moduli Algebras of Isolated Hypersurface Singularities
Zhiwen Liu, Stephen S. -T. Yau
Let be an isolated complex hypersurface singularity defined by . Let be the moduli(Tjurina) algebra, let be the generalize…
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…
Nakai conjectures for isolated weighted homogeneous hypersurface singularities
Stephen S. -T. Yau, Qiwei Zhu, Huaiqing Zuo
The long-standing Nakai Conjecture asks whether differential operators detect singularities on algebraic varieties. On a smooth variety over a field of characteristic zero, the rin…
Regularity estimate and sparse approximation of pathwise robust Duncan-Mortensen-Zakai equation
Yuhua Meng, Zhongjian Wang, Stephen S. T. Yau +1
In this paper, we establish an \textit{a priori} estimate for arbitrary-order derivatives of the solution to the pathwise robust Duncan-Mortensen-Zakai (DMZ) equation within the fr…
Classification of unimodal isolated complete intersection singularities in positive characteristic
Hongrui Ma, Stephen S. -T. Yau, Huaiqing Zuo
In this paper we classify the unimodal isolated complete intersection singularities in arbitrary characteristic under contact equivalence. The classification over has…
Normal surface singularities of small degrees
Stephen S. -T. Yau, Hao Zuo, Huaiqing Zuo
The notion of the Yau sequence was introduced by Tomaru, as an attempt to extend Yau's elliptic sequence for (weakly) elliptic singularities to normal surface singularities of high…
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…
4d N=2 SCFT and singularity theory Part II: Complete intersection
Bingyi Chen, Dan Xie, Shing-Tung Yau +2
We classify three dimensional isolated weighted homogeneous rational complete intersection singularities, which define many new four dimensional N=2 superconformal field theories.…