Displaying similar documents to “On the quantum cohomology of the plane, old and new, and a K3 analogue.”

Halphen gaps and good space curves

Jan O. Kleppe (1998)

Bollettino dell'Unione Matematica Italiana

Similarity:

In questo articolo dimostriamo l'esistenza di curve "buone e generali" di grado d e genere g che giacciono su di una superfice liscia di grado s , per ogni s ≥ 4 , d ≥ s 2 , e g in un certo intervallo vicino al genere massimo.

Curves on a smooth quadric.

S. Giuffrida, R. Maggioni (2003)

Collectanea Mathematica

Similarity:

We associate to every curve on a smooth quadric a polynomial equation that defines it as a divisor; this polynomial is defined through a matrix. In this way we can study several properties of these curves; in particular we can give a geometrical meaning to the rank of the matrix which defines the curve.

Enumerative geometry of divisorial families of rational curves

Ziv Ran (2004)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

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 3 d - 2 given points and tangent to a given line. The method is ‘classical’, free of Quantum Cohomology.