Riemann-Roch for Sub-Lattices of the Root Lattice An

  title={Riemann-Roch for Sub-Lattices of the Root Lattice An},
  author={Omid Amini and Madhusudan Manjunath},
  journal={Electr. J. Comb.},
Recently, Baker and Norine (Advances in Mathematics, 215(2): 766-788, 2007) found new analogies between graphs and Riemann surfaces by developing a Riemann-Roch machinery on a finite graph G. In this paper, we develop a general Riemann-Roch Theory for sub-lattices of the root lattice An by following the work of Baker and Norine, and establish connections between the Riemann-Roch theory and the Voronoi diagrams of lattices under certain simplicial distance functions. In this way, we rediscover… CONTINUE READING
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