I. Tsai

activity

19982026

most citedDeterminant bundle in a family of curves, after A. Beilinson and V. Schechtman

4 citations · 11 across the 16 of their papers we have counts for

collaborators

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7 papers · 1 filter

math.AG2022

Theta functions and adiabatic curvature on an Abelian variety

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

For an ample line bundle $L$ on an Abelian variety $M$ , we study the theta functions associated with the family of line bundles $L \otimes T$ on $M$ indexed by $T\in \text{Pic}^{0}(…

math.AG2020★ 1 cited

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…

math.AG2019

Theta Functions and Adiabatic Curvature on a Torus

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

Let $M$ be a complex torus, $L_{μ^} \to M$ be positive line bundles parametrized by $μ^\in Pic^{0} (M)$ , and $E \to Pic^{0} (M)$ be a vector bundle with $E|_{\hatμ}\cong…

math.AG2019

Deformation limit and bimeromorphic embedding of Moishezon manifolds

Sheng Rao, I-Hsun Tsai

Let $π : X \to Δ$ be a holomorphic family of compact complex manifolds over an open disk in $C$ . If the fiber $π^{- 1} (t)$ for each nonzero $t$ in an uncoun…

math.AG2004

Hochschild Cohomology and Twisted Complexes on Complex Manifolds

Yue Lin L. Tong, I-Hsun Tsai

We use the theory of twisted resolutions and twisted complexes to give a proof of Kontsevich's claim that Yoneda product corresponds to cup product in a canonical isomorphism from…

math.AG2003

Hitchin's connection and differential operators with values in the determinant bundle

Xiaotao Sun, I-Hsun Tsai

Let $C / M$ be a local universal family of smooth curves and $S / M$ be the family of moduli spaces of stable bundles with a fixed determinant on curves. In this paper, we find locally…