Highly Influenced

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

@article{Amini2010RiemannRochFS, title={Riemann-Roch for Sub-Lattices of the Root Lattice An}, author={Omid Amini and Madhusudan Manjunath}, journal={Electr. J. Comb.}, year={2010}, volume={17} }

- Published 2010 in 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