Combinatorics of compactified universal Jacobians
Algebraic Geometry
2019-02-13 v3 Combinatorics
Abstract
We use orientations on stable graphs to express the combinatorial structure of the compactified universal Jacobians in degrees g-1 and g over the moduli space of stable curves, \Mgb, and construct for them graded stratifications compatible with the one of \Mgb. In particular, for a stable curve we exhibit graded stratifications of the compactified Jacobians in terms of totally cyclic, respectively rooted, orientations on subgraphs of its dual graph.
Cite
@article{arxiv.1801.04098,
title = {Combinatorics of compactified universal Jacobians},
author = {Lucia Caporaso and Karl Christ},
journal= {arXiv preprint arXiv:1801.04098},
year = {2019}
}
Comments
Final version, to appear in Advances in Mathematics. 41 pages