We show that the combinatorial structure of the compactified universal Jacobians over $Mgb$ in degrees $g-1$ and $g$ is governed by orientations on stable graphs. In particular, for a stable curve we exhibit graded stratifications of the compactified Jacobians in terms of totally cyclic, respectively rooted, orientations on its dual graph. We prove functoriality under edge-contraction of the posets of totally cyclic and rooted orientations on stable graphs.
Caporaso, L., & Christ, K. (2019). Combinatorics of compactified universal Jacobians. ADVANCES IN MATHEMATICS, 346, 1091-1136.
|Titolo:||Combinatorics of compactified universal Jacobians.|
CAPORASO, Lucia (Corresponding)
|Data di pubblicazione:||2019|
|Citazione:||Caporaso, L., & Christ, K. (2019). Combinatorics of compactified universal Jacobians. ADVANCES IN MATHEMATICS, 346, 1091-1136.|
|Appare nelle tipologie:||1.1 Articolo in rivista|