Linear systems on graphs with a real structure
Algebraic Geometry
2010-05-20 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0911.4851,
title = {Linear systems on graphs with a real structure},
author = {Marc Coppens},
journal= {arXiv preprint arXiv:0911.4851},
year = {2010}
}
Comments
Some corrections are made and 13 figures are included. To appear in Quarterly Journal of Mathematics