[Courbes enrichies et leur analogue tropical]
Dans sa thèse, Mainò a introduit la notion de structure enrichie sur les courbes stables et elle a construit leur espace des modules. Dans cet article, nous donnons une notion tropicale de structure enrichie sur les courbes tropicales et nous construisons un espace de modules qui paramètre ces objets. De plus, nous utilisons cette construction pour donner une description torique du schéma qui paramètre les structures enrichies sur une courbe stable fixée.
In her Ph.D. thesis, Mainò 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.
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Keywords: Enriched curve, tropical curve, moduli space
Mot clés : Courbe enrichie, courbe tropicale, espace de modules
Abreu, Alex C. 1 ; Pacini, Marco 1
CC-BY-ND 4.0
@article{AIF_2017__67_2_689_0,
author = {Abreu, Alex C. and Pacini, Marco},
title = {Enriched curves and their tropical counterpart},
journal = {Annales de l'Institut Fourier},
pages = {689--741},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {67},
number = {2},
year = {2017},
doi = {10.5802/aif.3095},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3095/}
}
TY - JOUR AU - Abreu, Alex C. AU - Pacini, Marco TI - Enriched curves and their tropical counterpart JO - Annales de l'Institut Fourier PY - 2017 SP - 689 EP - 741 VL - 67 IS - 2 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3095/ DO - 10.5802/aif.3095 LA - en ID - AIF_2017__67_2_689_0 ER -
%0 Journal Article %A Abreu, Alex C. %A Pacini, Marco %T Enriched curves and their tropical counterpart %J Annales de l'Institut Fourier %D 2017 %P 689-741 %V 67 %N 2 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.3095/ %R 10.5802/aif.3095 %G en %F AIF_2017__67_2_689_0
Abreu, Alex C.; Pacini, Marco. Enriched curves and their tropical counterpart. Annales de l'Institut Fourier, Tome 67 (2017) no. 2, pp. 689-741. doi : 10.5802/aif.3095. https://aif.centre-mersenne.org/articles/10.5802/aif.3095/
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