78 citations · 167 across the 49 of their papers we have counts for
50 papers
Contact fundamental forms and adjoint varieties
Baohua Fu, Jun-Muk Hwang
We introduce contact symbol systems, a noncommutative analogue of symbol systems for projective fundamental forms, by replacing the polynomial algebra on a vector space by the grad…
Holomorphic symplectic geometry of elliptic surfaces
Jun-Muk Hwang, Guolei Zhong
When a complex surface admits a nowhere vanishing holomorphic 2-form, it determines a (holomorphic) symplectic structure on . We study the symplectic geometry of such a symp…
Lagrangian loci in moduli of abelian surfaces
Jun-Muk Hwang
We show that any smooth surface germ in the moduli of abelian surfaces arises from a Lagrangian fibration of abelian surfaces. By Donagi-Markman's cubic condition, the key issue of…
Lines on holomorphic contact manifolds and a generalization of -distributions to higher dimensions
Jun-Muk Hwang, Qifeng Li
Since the celebrated work by Cartan, distributions with \nobreak{small} growth vector have been studied extensively. In the holomorphic setting, there is a natural corres…
Recognizing the -horospherical manifold of Picard number 1 by varieties of minimal rational tangents
Jun-Muk Hwang, Qifeng Li
Pasquier and Perrin discovered that the -horospherical manifold of Picard number 1 can be realized as a smooth specialization of the rational homogeneous space…
Partial compactification of metabelian Lie groups with prescribed varieties of minimal rational tangents
Jun-Muk Hwang
We study minimal rational curves on a complex manifold that are tangent to a distribution. In this setting, the variety of minimal rational tangents (VMRT) has to be isotropic with…