I-Hsun Tsai

collaborators

3 papers

math.DG2026

Spectral bundles on Abelian varieties, complex projective spaces and Grassmannians

Ching-Hao Chang, Jih-Hsin Cheng, I-Hsun Tsai

In this paper we study the spectral analysis of Bochner-Kodaira Laplacians on an Abelian variety, complex projective space $P^{n}$ and a Grassmannian with a holomorphic li…

math.AG2026

Characterization of fiberwise bimeromorphism and specialization of bimeromorphic types I: locally Moishezon case

Jian Chen, Sheng Rao, I-Hsun Tsai

Inspired by the recent works of M. Kontsevich--Y. Tschinkel and J. Nicaise--J. C. Ottem on specialization of birational types for smooth families (in the scheme category) and J. Ko…

math.DG2025

Heat kernel and local index theorem for open complex manifolds with $C^{*}$ -action

Jih-Hsin Cheng, Chin-Yu Hsiao, I-Hsun Tsai

For a complex manifold $I^£$ with $C^{*}$ -action, we define the $m$ -th $C^{*}$ Fourier-Dolbeault cohomology group and consider the $m$ -index on $I^£$ . By ap…

Spectral bundles on Abelian varieties, complex projective spaces and Grassmannians

Characterization of fiberwise bimeromorphism and specialization of bimeromorphic types I: locally Moishezon case

Heat kernel and local index theorem for open complex manifolds with C∗-action

Heat kernel and local index theorem for open complex manifolds with $C^{*}$ -action