Constructs complete Kähler metrics with negative bisectional curvature on hyperbolic complex manifolds resolving Mok's problem and projective surfaces with negative HSC realizing any rational Chern slope in (2/7, 2/3).
Complete proper holomorphic embeddings of strictly pseudoconvex domains into balls
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We construct a complete proper holomorphic embedding from any strictly pseudoconvex domain with $\mathcal{C}^2$-boundary in $\mathbb{C}^n$ into the unit ball of $\mathbb{C}^N$, for $N$ large enough, thereby answering a question of Alarcon and Forstneric.
fields
math.DG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Curvature of hyperbolic complex manifolds
Constructs complete Kähler metrics with negative bisectional curvature on hyperbolic complex manifolds resolving Mok's problem and projective surfaces with negative HSC realizing any rational Chern slope in (2/7, 2/3).