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Jacobian varieties of reduced tropical curves

Algebraic Geometry 2007-05-23 v1 Combinatorics

Abstract

On tropical geometry in \rr2\rr^2, the divisor and the Jacobian variety are defined in analogy to algebraic geometry. For study of these objects, it is important to think of the `bunch' of a tropical curve. In this paper, we will show that if the bunch is a bouquet, then the Jacobian is a higher-dimensional torus.

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Cite

@article{arxiv.math/0612810,
  title  = {Jacobian varieties of reduced tropical curves},
  author = {Shuhei Yoshitomi},
  journal= {arXiv preprint arXiv:math/0612810},
  year   = {2007}
}

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19 pages