We prove the following statement, predicted by Clemens’ conjecture: A generic quintic threefold contains onlyfinitely many smooth rational curves of degree 12.

Finiteness of rational curves of degree 12 on a general quintic threefold / Ballico, Edoardo; Fontanari, Claudio. - In: PURE AND APPLIED MATHEMATICS QUARTERLY. - ISSN 1558-8599. - 2015, 11:4(2015), pp. 537-557. [10.4310/PAMQ.2015.v11.n4.a1]

Finiteness of rational curves of degree 12 on a general quintic threefold

Ballico, Edoardo;Fontanari, Claudio
2015-01-01

Abstract

We prove the following statement, predicted by Clemens’ conjecture: A generic quintic threefold contains onlyfinitely many smooth rational curves of degree 12.
2015
4
Ballico, Edoardo; Fontanari, Claudio
Finiteness of rational curves of degree 12 on a general quintic threefold / Ballico, Edoardo; Fontanari, Claudio. - In: PURE AND APPLIED MATHEMATICS QUARTERLY. - ISSN 1558-8599. - 2015, 11:4(2015), pp. 537-557. [10.4310/PAMQ.2015.v11.n4.a1]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/172518
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