[HTML][HTML] Combinatorics of compactified universal Jacobians

L Caporaso, K Christ - Advances in Mathematics, 2019 - Elsevier
We show that the combinatorial structure of the compactified universal Jacobians over M‾ g
in degrees g− 1 and g is governed by orientations on stable graphs. In particular, for a stable …

Kirchhoff's theorem for Prym varieties

Y Len, D Zakharov - Forum of Mathematics, Sigma, 2022 - cambridge.org
We prove an analogue of Kirchhoff's matrix tree theorem for computing the volume of the
tropical Prym variety for double covers of metric graphs. We interpret the formula in terms of …

Recursive combinatorial aspects of compactified moduli spaces

L Caporaso - Proceedings of the International Congress of …, 2018 - World Scientific
In recent years an interesting connection has been established between some moduli
spaces of algebro-geometric objects (eg algebraic stable curves) and some moduli spaces …

[PDF][PDF] Compactifying moduli spaces

L Caporaso - Bull. Amer. Math. Soc.(NS), 2020 - mat.uniroma3.it
COMPACTIFYING MODULI SPACES Contents 1. Introduction 1 2. Compactifying moduli
spaces of smooth curves 3 2.1. Moduli of smooth a Page 1 COMPACTIFYING MODULI …