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arXiv · 1801.01283

Recursive combinatorial aspects of compactified moduli spaces

Lucia Caporaso
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Abstract

A connection between moduli spaces of algebro-geometric objects and moduli spaces of polyhedral objects has been under investigation in recent years. Loosely speaking, the skeleton of an algebro-geometric moduli space is expressed as the modul space of the skeleta of the objects it parametrizes. The connection is based on the combinatorial properties of the boundary of the algebro-geometric moduli spaces. This paper overviews this topic with focus on moduli of curves, admissible covers, Jacobians and their Neron models.

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Lucia Caporaso. 2018-01-04. Recursive combinatorial aspects of compactified moduli spaces. https://arxiv.org/abs/1801.01283

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