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Holomorphic curves into algebraic varieties intersecting moving hypersurface targets

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arxiv 1503.08801 v3 pith:CZFH5RBT submitted 2015-03-30 math.CV

Gerd Dethloff , Tran Van Tan This is my paper · ORCID
classification math.CV
keywords hypersurfacetargetsvarietiescurvesholomorphicintersectingmovingprojective
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In [Ann. of Math. 169 (2009)], Min Ru proved a second main theorem for algebraically nondegenerate holomorphic curves in complex projective varieties intersecting fixed hypersurface targets. In this paper, by introducing a new proof method for the case of projective varieties, we generalize this result to moving hypersurface targets.

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  1. Second main theorem for holomorphic curves into algebraic varieties intersecting moving hypersurfaces targets

    math.CV 2019-08 conditional novelty 6.0 of 10

    The authors establish second main theorems with improved constants for holomorphic curves in algebraic varieties intersecting moving hypersurfaces in N-subgeneral position with index kappa.

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