Author

Yi-Xin Yang

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Preprint Sep 2026

Asymptotic Rigidity and Boundary Structure of Yang's Numerical Invariants for the Bidisk Submodules $[z^k-w^\ell]$

Let \[ M_{k,\ell}=[z^k-w^\ell]\subset H^2(\mathbb D^2), \qquad k,\ell\in\mathbb N,\quad k\ne\ell . \] We study the large-index asymptotics of Yang's numerical invariants and the boundary structure of their generating function. Starting from the exact staircase formula obtained in our preceding work, we prove that \[ \S...

Yin Liu, Yu-Feng Lu, Yi-Xin Yang · 0 citations

Preprint Sep 2026

Numerical Invariants and Parameter Recovery for Quasi-Homogeneous Submodules $[z^k-w^\ell]$

We study Yang's higher numerical invariants for the quasi-homogeneous submodules \[ M_{k,\ell}=[z^k-w^\ell]\subset H^2(\mathbb D^2), \qquad k,\ell\in\mathbb N,\quad k\neq\ell. \] The Hilbert--Schmidt property and the low-order invariants $\Sigma_0$ and $\Sigma_1$ for this family follow from earlier results on $M_{\thet...

Yin Liu, Yu-Feng Lu, Yi-Xin Yang · 1 citation · ⚡1