Enumeration of curves via floor diagrams

2007/06/01 by Erwan Brugallé, Brugallé, Erwan, Grigory Mikhalkin +1 · 5 citations
Computer Science · Engineering · #Polynomial and algebraic computation #Computational Geometry and Mesh Generation #Advanced Numerical Analysis Techniques

paper · pdf · doi:10.48550/arxiv.0706.0083

Abstract

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

Cited by

• On the piecewise quasipolynomiality of double tropical Welschinger invariants
• Floor decompositions of tropical curves : the planar case
• Refined floor diagrams relative to a conic and Caporaso-Harris type formula
• BPS polynomials and Welschinger invariants
• The double Gromov-Witten invariants of Hirzebruch surfaces are piecewise\n polynomial

Related

• Labeled floor diagrams for plane curves
• Two lectures on the enumeration of curves by means of floor diagrams
• Floor diagrams relative to a conic, and GW-W invariants of Del Pezzo\n surfaces
• Recursive formulas for Welschinger invariants of the projective plane
• Real enumerative invariants relative to the toric boundary and their refinement