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Abstract: We prove that any nonconstant entire holomorphic curve from the complex lineC into a projective algebraic hypersurface X = X^n in P^{n+1}C of arbitrarydimension n at least 2 must be algebraically degenerate provided X is genericif its degree d = degX satisfies the effective lower bound: d larger than orequal to n^{{n+1}^{n+5}}.



Author: Simone Diverio, Joel Merker, Erwan Rousseau

Source: https://arxiv.org/



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