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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
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 be a transcendental holomorphic curve into a complex projective manifold X. Let L be a very ample line bundle on Let s be a very generic holomorphic section of L and D the zero divisor given by 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
让 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 令s为L和D的非常普通的全纯部分,由给出的零除数 我们证明D相对于f的几何缺陷(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
中文翻译:
关于零个几何缺陷的除数集
让