no. 2
On the finiteness of rational curves on quintic threefolds
Compositio Mathematica, Volume 60 (1986) no. 2, pp. 151-162. 
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     number = {2},
     year = {1986},
     zbl = {0606.14039},
     mrnumber = {868135},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1986__60_2_151_0/}
}
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Katz, Sheldon. On the finiteness of rational curves on quintic threefolds. Compositio Mathematica, Volume 60 (1986) no. 2, pp. 151-162. http://archive.numdam.org/item/CM_1986__60_2_151_0/

[1] H. Clemens: Homological equivalence, modulo algebraic equivalence, is not finitely generated. Publ. Math IHES 58 (1983) 19-38. | Numdam | MR | Zbl

[2] H. Clemens: Some results on Abel-Jacobi mappings. In: Topics in transcendental algebraic Geometry. Princeton Univ. Press:Princeton, NJ (1984). | Zbl

[3] A. Collino, J. Murre and G. Welters: On the family of conics lying on a quartic threefold. Rend. Sem. Mat. Univ. Pol. Torino 38 (1980). | MR | Zbl

[4] P. Griffiths and J. Harris: Principles of algebraic Geometry. Wiley: New York (1978). | MR | Zbl

[5] L. Gruson, R. Lazarsfeld and C. Peskine: On a theorem of Castelnuovo and the equations defining space curves. Inv. Math. 72 (1983) 491-506. | MR | Zbl

[6] J. Harris: Galois groups of enumerative problems. Duke Math. Jour. 46 (1979) 685-724. | MR | Zbl

[7] R. Hartshorne: Algebraic Geometry. Springer-Verlag:New York (1977). | MR | Zbl

[8] S. Katz: Degenerations of quintic threefolds and their lines. Duke Math. Jour. 50 (1983) 1127-1135. | MR | Zbl

[9] S. Katz: Lines on complete intersection threefolds with K = 0, to appear in Math. Zeit. | Zbl

[10] H. Matsumura: Commutative Algebra. Benjamin/Cummings:Reading, Mass. (1980). | MR | Zbl

[11] S. Mori: On degrees and genera of curves on smooth quartic surfaces in P3. Nagoya Math. Jour. 96 (1984). | MR | Zbl

[12] 1. PETROVSKII and S. NIKOLSKI, eds: Algebraic surfaces. Proc. Steklov Inst. Math. 75 (1965) AMS, Prov. RI 1967.