(2021). On the set of divisors with zero geometric defect. J. Reine Angew. Math., 771. S. 193 - 214. BERLIN: WALTER DE GRUYTER GMBH. ISSN 1435-5345

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Abstract

Let f : C -> X be a transcendental holomorphic curve into a complex projective manifold X . Let s 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.

Item Type: Journal Article
URN: urn:nbn:de:hbz:38-581828
DOI: 10.1515/crelle-2020-0017
Journal or Publication Title: J. Reine Angew. Math.
Volume: 771
Page Range: S. 193 - 214
Date: 2021
Publisher: WALTER DE GRUYTER GMBH
Place of Publication: BERLIN
ISSN: 1435-5345
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
2ND MAIN THEOREM; HOLOMORPHIC-CURVES; ABELIAN-VARIETIES; CURRENTSMultiple languages
MathematicsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/58182

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