English

Enriched curves and their tropical counterpart

Algebraic Geometry 2016-09-22 v2

Abstract

In her Ph.D. thesis, Main\`o introduced the notion of enriched structure on stable curves and constructed their moduli space. In this paper we give a tropical notion of enriched structure on tropical curves and construct a moduli space parametrizing these objects. Moreover, we use this construction to give a toric description of the scheme parametrizing enriched structures on a fixed stable curve.

Keywords

Cite

@article{arxiv.1412.5308,
  title  = {Enriched curves and their tropical counterpart},
  author = {Alex Abreu and Marco Pacini},
  journal= {arXiv preprint arXiv:1412.5308},
  year   = {2016}
}

Comments

41 pages, 13 figures; final version, to appear in Ann. Inst. Fourier

R2 v1 2026-06-22T07:34:38.253Z