Tropical geometry of genus two curves

@article{Cueto2019TropicalGO,
  title={Tropical geometry of genus two curves},
  author={M. Cueto and Hannah Markwig},
  journal={Journal of Algebra},
  year={2019},
  volume={517},
  pages={457-512}
}
Abstract We exploit three classical characterizations of smooth genus two curves to study their tropical and analytic counterparts. First, we provide a combinatorial rule to determine the dual graph of each algebraic curve and the metric structure on its minimal Berkovich skeleton. Our main tool is the description of genus two curves via hyperelliptic covers of the projective line with six branch points. Given the valuations of these six points and their differences, our algorithm provides an… Expand
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References

SHOWING 1-10 OF 53 REFERENCES
Tropical hyperelliptic curves
Tropical covers of curves and their moduli spaces
How to Repair Tropicalizations of Plane Curves Using Modifications
Faithful tropicalization of Mumford curves of genus two
Combinatorics of the tropical Torelli map
Tropical geometry and correspondence theorems via toric stacks
Tropical fans and the moduli spaces of tropical curves
Nonarchimedean geometry, tropicalization, and metrics on curves
Tropical Skeletons
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