Linear systems on graphs with a real structure

Details Linear systems on graphs with a real structure Linear systems on graphs with a real structure

2009-11-25

arxiv.org/abs/0911.4851v2

Mathematics

Algebraic Geometry

Some corrections are made and 13 figures are included. To appear in Quarterly Journal of Mathematics

Scientific paper

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.

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