Enumerative geometry of divisorial families of rational curves
Ran, Ziv1
1 Mathematics Department University of California Riverside CA 92521, USA
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 3 (2004) no. 1, pp. 67-85.

We compute the number of irreducible rational curves of given degree with 1 tacnode in 2 or 1 node in 3 meeting an appropriate generic collection of points and lines. As a byproduct, we also compute the number of rational plane curves of degree d passing through 3d-2 given points and tangent to a given line. The method is ‘classical’, free of Quantum Cohomology.

Classification : 14H50, 14N10
Ran, Ziv 1

1 Mathematics Department University of California Riverside CA 92521, USA 
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Ran, Ziv. Enumerative geometry of divisorial families of rational curves. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 3 (2004) no. 1, pp. 67-85. http://archive.numdam.org/item/ASNSP_2004_5_3_1_67_0/

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