@article{CM_1986__60_2_151_0, author = {Katz, Sheldon}, title = {On the finiteness of rational curves on quintic threefolds}, journal = {Compositio Mathematica}, pages = {151--162}, publisher = {Martinus Nijhoff Publishers}, volume = {60}, number = {2}, year = {1986}, mrnumber = {868135}, zbl = {0606.14039}, language = {en}, url = {http://www.numdam.org/item/CM_1986__60_2_151_0/} }
Katz, Sheldon. On the finiteness of rational curves on quintic threefolds. Compositio Mathematica, Volume 60 (1986) no. 2, pp. 151-162. http://www.numdam.org/item/CM_1986__60_2_151_0/
[1] Homological equivalence, modulo algebraic equivalence, is not finitely generated. Publ. Math IHES 58 (1983) 19-38. | Numdam | MR | Zbl
:[2] Some results on Abel-Jacobi mappings. In: Topics in transcendental algebraic Geometry. Princeton Univ. Press:Princeton, NJ (1984). | Zbl
:[3] On the family of conics lying on a quartic threefold. Rend. Sem. Mat. Univ. Pol. Torino 38 (1980). | MR | Zbl
, and :[4] Principles of algebraic Geometry. Wiley: New York (1978). | MR | Zbl
and :[5] On a theorem of Castelnuovo and the equations defining space curves. Inv. Math. 72 (1983) 491-506. | MR | Zbl
, and :[6] Galois groups of enumerative problems. Duke Math. Jour. 46 (1979) 685-724. | MR | Zbl
:[7] Algebraic Geometry. Springer-Verlag:New York (1977). | MR | Zbl
:[8] Degenerations of quintic threefolds and their lines. Duke Math. Jour. 50 (1983) 1127-1135. | MR | Zbl
:[9] Lines on complete intersection threefolds with K = 0, to appear in Math. Zeit. | Zbl
:[10] Commutative Algebra. Benjamin/Cummings:Reading, Mass. (1980). | MR | Zbl
:[11] 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.