Jacobian varieties of reduced tropical curves

Details Jacobian varieties of reduced tropical curves Jacobian varieties of reduced tropical curves

2006-12-28

arxiv.org/abs/math/0612810v1

Mathematics

Algebraic Geometry

19 pages

Scientific paper

On tropical geometry in $\rr^2$, 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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