On the tropical Torelli map

  title={On the tropical Torelli map},
  author={Silvia Brannetti and Margarida Melo and Filippo Viviani},
Abstract We construct the moduli spaces of tropical curves and tropical principally polarized abelian varieties, working in the category of (what we call) stacky fans. We define the tropical Torelli map between these two moduli spaces and we study the fibers (tropical Torelli theorem) and the image of this map (tropical Schottky problem). Finally we determine the image of the planar tropical curves via the tropical Torelli map and we use it to give a positive answer to a question raised by… CONTINUE READING

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