Algebraic degeneracy for generic projective hypersurfaces

Simone Diverio,Erwan Rousseau

doi:10.1007/978-3-319-32315-2_6

Algebraic degeneracy for generic projective hypersurfaces

Simone Diverio, Erwan Rousseau

https://doi.org/10.1007/978-3-319-32315-2_6

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Publication Date: Jan 1, 2016

Affiliation: Université Paris Cité, Institut de Mathématiques de Jussieu, Sorbonne University, French National Centre for Scientific Research, Centrale Marseille, Aix-Marseille University

#Meromorphic Vector Fields #Algebraic Degeneracy + Show 8 more

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Abstract

This chapter will treat the general case of projective hypersurfaces in every dimension. We will prove an algebraic degeneracy result for entire curve in generic projective hypersurfaces of high degree, taken from [23]. The first part will be concerned in finding jet differentials, as in [22], then we shall cite the general result on meromorphic vector fields contained in [41]. Finally, we shall discuss some effective aspects of the proof.

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