English

Boundary complexes of moduli spaces of curves in higher genus

Algebraic Geometry 2020-12-03 v2

Abstract

Given a collection of boundary divisors in the moduli space of stable genus-zero n-pointed curves, Giansiracusa proved that their intersection is nonempty if and only if all pairwise intersections are nonempty. We give a complete classification of the pairs (g,n) for which the analogous statement holds in the moduli space of n-pointed curves of genus g.

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Cite

@article{arxiv.2007.09710,
  title  = {Boundary complexes of moduli spaces of curves in higher genus},
  author = {Emily Clader and Dante Luber and Kyla Quillin},
  journal= {arXiv preprint arXiv:2007.09710},
  year   = {2020}
}

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10 pages