78 citations · 90 across the 14 of their papers we have counts for
4 papers · 1 filter
A bound on the number of curves of a given degree through a general point of a projective variety
Jun-Muk Hwang
Let be an irreducible projective variety of dimension in a projective space and let be a point of . Denote by the space of curves of degree …
On the volumes of complex hyperbolic manifolds with cusps
Jun-Muk Hwang
We study the problem of bounding the number of cusps of a complex hyperbolic manifold in terms of its volume. Applying algebro-geometric methods using Mumford's work on toroidal co…
Rigidity of surjective holomorphic maps to Calabi-Yau manifolds
Jun-Muk Hwang
We prove that the space of surjective holomorphic maps from a compact complex manifold to a compact Kähler manifold with trivial canonical class and finite fundamental group is dis…
Geometry of chains of minimal rational curves
Jun-Muk Hwang, Stefan Kebekus
Chains of minimal degree rational curves have been used as an important tool in the study of Fano manifolds. Their own geometric properties, however, have not been studied much. Th…