A Riemann-roch Theorem for Edge-weighted Graphs
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چکیده
We prove a Riemann-Roch theorem for real divisors on edgeweighted graphs over the reals, extending the result of Baker and Norine for integral divisors on graphs with multiple edges.
منابع مشابه
ROCH THEOREM FOR EDGE - WEIGHTED GRAPHS 3 In [ 2 ] and [ 3 ]
We prove a Riemann-Roch theorem for real divisors on edge-weighted graphs over the reals, extending the result of Baker and Norine for integral divisors on graphs with multiple edges.
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In [1] M. Baker and S. Norine developed a theory of divisors and linear systems on graphs, and proved a Riemann-Roch Theorem for these objects (conceived as integer-valued functions on the vertices). In [2] and [3] the authors generalized these concepts to real-valued functions, and proved a corresponding Riemann-Roch Theorem in that setting, showing that it implied the Baker-Norine result. In ...
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تاریخ انتشار 2009