4 citations · 11 across the 16 of their papers we have counts for
16 papers
Solution Module and Linear Closure
I-Chiau Huang, I-Hsun Tsai
We introduce the notion of an ``initial condition'' for a module over a commutative Noetherian local ring, allowing for a recursive construction of its ``solution modules''. If the…
Theta functions and adiabatic curvature on an Abelian variety
Ching-Hao Chang, Jih-Hsin Cheng, I-Hsun Tsai
For an ample line bundle on an Abelian variety , we study the theta functions associated with the family of line bundles on indexed by $T\in \text{Pic}^{0}(…
Invariance of plurigenera and Chow-type lemma
Sheng Rao, I-Hsun Tsai
This paper answers a question of Demailly whether a smooth family of nonsingular projective varieties admits the deformation invariance of plurigenera affirmatively, and proves thi…
A Local Index Theorem of Transversal Type on Manifolds with Locally Free -action
Dung-Cheng Lin, I-Hsun Tsai
We study an index of a transversal Dirac operator on an odd-dimensional manifold with locally free -action. One difficulty of using heat kernel method lies in the…
Theta Functions and Adiabatic Curvature on a Torus
Ching-Hao Chang, Jih-Hsin Cheng, I-Hsun Tsai
Let be a complex torus, be positive line bundles parametrized by , and be a vector bundle with $E|_{\hatμ}\cong…
Deformation limit and bimeromorphic embedding of Moishezon manifolds
Sheng Rao, I-Hsun Tsai
Let be a holomorphic family of compact complex manifolds over an open disk in . If the fiber for each nonzero in an uncoun…