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Cotterill, 2005 - Google Patents

Rational curves of degree 10 on a general quintic threefold

Cotterill, 2005

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Document ID
15426146288294819055
Author
Cotterill E
Publication year
Publication venue
Communications in Algebra

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We prove the “strong form” of the Clemens conjecture in degree 10. Namely, on a general quintic threefold F in ℙ 4, there are only, finitely, many smooth rational curves of degree 10, and each curve C is embedded in F with normal bundle 𝒪 (− 1)⊕ 𝒪 (− 1). Moreover, in …
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