3 papers
math.AG2026
Geometry of Neighborhoods of Minimal Rational Curves
Jun-Muk Hwang
This is a survey of recent works on the germ-equivalence problem of minimal rational curves on uniruled projective manifolds. Our main interest is when the associated varieties of…
math.DG2024
Generalized Tanaka prolongation and convergence of formal equivalence between embeddings
Jaehyun Hong, Jun-Muk Hwang
The works of Commichau--Grauert and Hirschowitz showed that a formal equivalence between embeddings of a compact complex manifold is convergent, if the embeddings have sufficiently…
math.CV2024
Formal principle with convergence for rational curves of Goursat type
Jun-Muk Hwang
We propose a conjecture that a general member of a bracket-generating family of rational curves in a complex manifold satisfies the formal principle with convergence, namely, any f…