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- Title
On the set of divisors with zero geometric defect.
- Authors
Huynh, Dinh Tuan; Vu, Duc-Viet
- Abstract
Let ƒ : ℂ → X be a transcendental holomorphic curve into a complex projective manifold X. Let L be a very ample line bundle on X. Let s be a very generic holomorphic section of L and D the zero divisor given by s. We prove that the geometric defect of D (defect of truncation 1) with respect to ƒ is zero. We also prove that f almost misses general enough analytic subsets on X of codimension 2.
- Subjects
COMPLEX manifolds; DIVISOR theory
- Publication
Journal für die Reine und Angewandte Mathematik, 2021, Vol 2021, Issue 771, p193
- ISSN
0075-4102
- Publication type
Article
- DOI
10.1515/crelle-2020-0017