Lucia Caporaso, Karl Christ
Published 2018-01-12Version 1
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.
On Abel maps of stable curves
Birational contractions of $\overline{\mathrm{M}}_{0,n}$ and combinatorics of extremal assignments
Combinatorics and Quotients of Toric Varieties
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