Abstract. We compute the number of irreducible rational curves of given degree with 1 tacnode in P2 or 1 node in P3 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.
© 2001-2024 Fundación Dialnet · Todos los derechos reservados