Algebraic Geometry
Enumeration of curves via floor diagrams
[Énumération de courbes par des diagrammes en étages]
Comptes Rendus. Mathématique, Tome 345 (2007) no. 6, pp. 329-334.

Dans cette Note nous calculons certains invariants énumératifs d'espaces projectifs réels et complexes en termes de graphes enrichis appelés diagrammes en étages.

In this Note we compute some enumerative invariants of real and complex projective spaces by means of some enriched graphs called floor diagrams.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2007.07.026
Brugallé, Erwan 1 ; Mikhalkin, Grigory 2

1 Université Pierre-et-Marie-Curie, Institut mathématiques de Jussieu, 175, rue du Chevaleret, 75013 Paris, France
2 University of Toronto, Department of Mathematics, 40 St. George St., Toronto, Ontario M5S 2E4, Canada
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Brugallé, Erwan; Mikhalkin, Grigory. Enumeration of curves via floor diagrams. Comptes Rendus. Mathématique, Tome 345 (2007) no. 6, pp. 329-334. doi : 10.1016/j.crma.2007.07.026. http://archive.numdam.org/articles/10.1016/j.crma.2007.07.026/

[1] E. Brugallé, G. Mikhalkin, Floor decomposition of tropical curves, in preparation

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[8] Welschinger, J.Y. Spinor states of real rational curves in real algebraic convex 3-manifolds and enumerative invariants, Duke Math. J., Volume 127 (2005), pp. 89-121

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