2009/11/25 by Marc Coppens, Coppens, Marc
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #Tensor decomposition and applications #math.AG
paper · pdf · doi:10.48550/arxiv.0911.4851
Some corrections are made and 13 figures are included. To appear in Quarterly Journal of Mathematics
openalex publication_date 2009/11/25 · arxiv created 2010/05/19 · arxiv updated 2010/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.