On algebraic hyperbolicity of log varieties. (English) Zbl 1083.14052
From the abstract: Kobayashi’s conjecture states that any holomorphic map \(f:\mathbb C\to \mathbb P^n\setminus D\) is constant, for a very general hypersurface \(D\subset \mathbb P^n\) of degree \(\geq 2n+1\). As a corollary of the author’s main theorem, it follows that such an \(f\) is constant if \(f(\mathbb C)\) is contained in an algebraic curve.
Reviewer: Tan VoVan (Boston)
MSC:
| 14J70 | Hypersurfaces and algebraic geometry |
| 14H10 | Families, moduli of curves (algebraic) |
| 32Q45 | Hyperbolic and Kobayashi hyperbolic manifolds |
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