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Acta Mathematica Vietnamica

Holomorphic Curves into Algebraic Varieties Intersecting Moving Hypersurface Targets

Gerd Dethloff , icon-email Tran Van Tan

Abstract

In Ru (Ann. Math. 169, 255–267 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.