Integration over Tropical Plane Curves and Ultradiscretization

Details Integration over Tropical Plane Curves and Ultradiscretization Integration over Tropical Plane Curves and Ultradiscretization

2008-12-10

arxiv.org/abs/0812.1873v3

Mathematics

Algebraic Geometry

32pages, 12figures

Scientific paper

10.1093/imrn/rnp129

In this article we study holomorphic integrals on tropical plane curves in
view of ultradiscretization. We prove that the lattice integrals over tropical
curves can be obtained as a certain limit of complex integrals over Riemannian
surfaces.

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