Effective algebraic degeneracy |
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Authors: | Simone Diverio Joël Merker Erwan Rousseau |
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Institution: | (1) Department of Mathematics, U.C.L.A, CA 90024 Los Angeles, USA |
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Abstract: | We show that for every smooth projective hypersurface X⊂ℙ
n+1 of degree d and of arbitrary dimension n
≥2, if X is generic, then there exists a proper algebraic subvariety Y
⊊
X such that every nonconstant entire holomorphic curve f
:ℂ→X has image f(ℂ) which lies in Y, as soon as its degree satisfies the effective lower bound
d\geqslant 2n5d\geqslant 2^{n^{5}}
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Keywords: | |
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