2005HAL (Le Centre pour la Communication Scientifique Directe)Open access

Weak analytic hyperbolicity of generic hypersurfaces of high degree in the complex projective space of dimension 4

Erwan Rousseau

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Abstract

The main goal of this work is to prove that every entire curve in a generic hypersurface of degree greater than or equal to 593 in the complex projective space of dimension 4 is algebraically degenerated i.e contained in a proper subvariety.

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What this paper is about

The main goal of this work is to prove that every entire curve in a generic hypersurface of degree greater than or equal to 593 in the complex projective space of dimension 4 is algebraically degenerated i.e contained in a proper subvariety.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The main goal of this work is to prove that every entire curve in a generic hypersurface of degree greater than or equal to 593 in the complex projective space of dimension 4 is algebraically degenerated i.e contained in a proper subvariety.

Key concepts: Hypersurface, Subvariety, Mathematics, Dimension (graph theory), Degree (music), Pure mathematics, Projective space, Space (punctuation)

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