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arXiv · 1905.08118

The correspondence formula of Dolbeault complex on pair deformation

Jie Tu
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Abstract

Given a holomorphic family of pairs $\{(X_t,E_t)\}$, where each $E_t$ is holomorphic vector bundle over compact complex manifold $X_t$. For small enough $t$, we get a correspondence between the Dolbeault complex of $E_t$-valued $(p,q)$-forms on $X_t$ and the one of $E_0$-valued $(p,q)$-forms on $X_0$.

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Jie Tu. 2019-05-20. The correspondence formula of Dolbeault complex on pair deformation. https://arxiv.org/abs/1905.08118

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