A Riemann-Roch theorem for edge-weighted graphs
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- by Rodney James and Rick Miranda PDF
- Proc. Amer. Math. Soc. 141 (2013), 3793-3802 Request permission
Abstract:
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.References
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Additional Information
- Rodney James
- Affiliation: Department of Mathematics, Colorado State University, Fort Collins, Colorado 80523
- Address at time of publication: Department of Mathematical and Statistical Sciences, University of Colorado, Denver, Colorado 80217-3364
- Rick Miranda
- Affiliation: Department of Mathematics, Colorado State University, Fort Collins, Colorado 80523
- Received by editor(s): August 4, 2009
- Received by editor(s) in revised form: March 30, 2011, and January 27, 2012
- Published electronically: July 26, 2013
- Communicated by: Ted Chinburg
- © Copyright 2013 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 141 (2013), 3793-3802
- MSC (2010): Primary 05C38, 05C25; Secondary 14C40
- DOI: https://doi.org/10.1090/S0002-9939-2013-11671-0
- MathSciNet review: 3091769