Rational curves of degree at most 9 on a general quintic threefold
نویسندگان
چکیده
منابع مشابه
Rational curves of degree 10 on a general quintic threefold
We prove the “strong form” of the Clemens conjecture in degree 10. Namely, on a general quintic threefold F in P, 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 degree 10, there are no singular, reduced, and irreducible rational curves, nor any reduced, reducible, and connected curves with ration...
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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, 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 degree 10, there are no singular, reduced, and irreducible rational curves, nor any reduced, reducible, and connected curves with ration...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 1996
ISSN: 0092-7872
DOI: 10.1080/02560049608542652