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Relation between a cycle on a toroidal graph and divisors of elliptic curve over complex plane

I am very new to algebraic geometry. I was reading about divisors on a scheme. I am wondering does there is some connection between the followings. An elliptic curve over the complex plane we can ...
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Voronoi and Delaunay

Please provide some references on Voronoi and Delaunay decompositions which is mathematically written. I mean I can find several texts or links on this written for computer science students without ...
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