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2016•Università del SalentoOpen access

Non-existence of smooth rational curves of degreed= 13,14,15 contained in a general quintic hypersurface of P4 and in some quadric hypersurface

Edoardo Ballico

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Abstract

Let W⊂P4 be a general quintic hypersurface. We prove that W contains no smooth rational curve C⊂P4with degree d ∈ {13,14,15},h0(IC(1)) = 0 and h0(IC(2))>0.

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What this paper is about

Let W⊂P4 be a general quintic hypersurface. We prove that W contains no smooth rational curve C⊂P4with degree d ∈ {13,14,15},h0(IC(1)) = 0 and h0(IC(2))>0.

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Available abstract

Let W⊂P4 be a general quintic hypersurface. We prove that W contains no smooth rational curve C⊂P4with degree d ∈ {13,14,15},h0(IC(1)) = 0 and h0(IC(2))>0.

Key concepts: Hypersurface, Quadric, Mathematics, Degree (music), Quintic function, Mathematical analysis, Pure mathematics, Physics

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Non-existence of smooth rational curves of degreed= 13,14,15 contained in a general quintic hypersurface of P4 and in some quadric hypersurface — Research Paper | ScholarLens