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On the set of divisors with zero geometric defect
Journal für die reine und angewandte Mathematik ( IF 1.2 ) Pub Date : 2020-07-11 , DOI: 10.1515/crelle-2020-0017
Dinh Tuan Huynh 1 , Duc-Viet Vu 2
Affiliation  

Let f: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 f is zero. We also prove that f almost misses general enough analytic subsets on X of codimension 2.

中文翻译:

关于零个几何缺陷的除数集

FX是一个超越全纯曲线成复射影歧管X。令L成为一个非常充足的线束XsLD的非常普通的全纯部分,由给出的零除数s我们证明D相对于f几何缺陷(截断1的缺陷)为零。我们还证明f几乎错过了维2的X上足够通用的解析子集。
更新日期:2020-07-20
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