• Corpus ID: 15059353

Floor decompositions of tropical curves : the planar case

@article{Brugall2008FloorDO,
  title={Floor decompositions of tropical curves : the planar case},
  author={Erwan Brugall{\'e} and Grigory Mikhalkin},
  journal={arXiv: Algebraic Geometry},
  year={2008},
  pages={64-90}
}
In a previous paper, we announced a formula to compute Gromov-Witten and Welschinger invariants of some toric varieties, in terms of combinatorial objects called floor diagrams. We give here detailed proofs in the tropical geometry framework, in the case when the ambient variety is a complex surface, and give some examples of computations using floor diagrams. The focusing on dimension 2 is motivated by the special combinatoric of floor diagrams compared to arbitrary dimension. We treat a… 
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76 Citations
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76 Citations

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