3 citations · 6 across the 7 of their papers we have counts for
8 papers
The Kuranishi space of joint deformations of Calabi--Yau manifolds and holomorphic vector bundles
Runze Zhang
In this paper, we study joint deformations of pairs , where is a compact complex manifold and is a holomorphic vector bundle. We prove that has…
A numerically flat rank-two bundle without a holomorphic connection on a -threefold
Tianzhi Hu, Runze Zhang
We construct a numerically flat holomorphic vector bundle of rank two on a compact complex threefold satisfying the ordinary -lemma and prove that it admits n…
Parabolic Implosion in the Parameter Space of Cubic Polynomials
Runze Zhang
Parabolic implosion describes the enrichment of Julia sets when a parabolic fixed point is perturbed. It is also natural to study parabolic implosion in parameter spaces. In partic…
Logarithmic -lemma and several geometric applications (with an Appendix joint with Sheng Rao)
Runze Zhang
In this paper, we prove a -type lemma on compact Kähler manifolds for logarithmic differential forms valued in the dual of a certain pseudo-effective line b…
Rigidity of bounded type cubic Siegel polynomials
Jonguk Yang, Runze Zhang
We prove that if two non-renormalizable cubic Siegel polynomials with bounded type rotation numbers are combinatorially equivalent, then they are also conformally equivalent. As a…
On Dynamical Parameter Space of Cubic Polynomials with a Parabolic Fixed Point
Runze Zhang
This article focus on the connected locus of the cubic polynomial slice with a parabolic fixed point of multiplier . We first show that any parabol…
Parabolic Components in Cubic Polynomial Slice
Runze Zhang
We prove that the boundary of every parabolic component in the cubic polynomial slice is a Jordan curve by adapting the technique of para-puzzles presented in \cite{Roes…
On extension of closed complex (basic) differential forms: (basic) Hodge numbers and (transversely) -Kähler structures
Sheng Rao, Runze Zhang
Inspired by a recent work of D. Wei--S. Zhu on the extension of closed complex differential forms and Voisin's usage of the -lemma, we obtain several new th…