2013/09/30 by Julien Clancy, Timothy Leake, Sam Payne · 1 citation
Mathematics · #math.AG #math.CO #msc:05C31 #msc:05C50 #msc:14H99 #msc:14T05
published as Exp. Math. 24 (2015), no. 1, 1-7 · 9 pages, 6 figures. v2: Improved exposition, updated references. Final version, to appear in Exp. Math
arxiv created 2014/04/21 · arxiv updated 2016/04/19
We address questions posed by Lorenzini about relations between Jacobians, Tutte polynomials, and the Brill-Noether theory of finite graphs, as encoded in his two-variable zeta functions. In particular, we give examples showing that none of these invariants is determined by the other two.