The Quarterly Journal of Mathematics vol:62 issue:4 pages:923-951
A degeneration of a smooth projective curve to a strongly stable curve gives rise to a specialization
map from divisors on curves to divisors on graphs. In this paper we show that this specialization
behaves well under the presence of real structures. In particular we study real linear systems on
graphs with a real structure and we prove results on them comparable to results in the classical
theory of real curves.We also consider generalizations to metric graphs and tropical curves.