A MODULI STACK OF TROPICAL CURVES

Autor: RENZO CAVALIERI, MELODY CHAN, MARTIN ULIRSCH, JONATHAN WISE
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Forum of Mathematics, Sigma, Vol 8 (2020)
Druh dokumentu: article
ISSN: 2050-5094
DOI: 10.1017/fms.2020.16
Popis: We contribute to the foundations of tropical geometry with a view toward formulating tropical moduli problems, and with the moduli space of curves as our main example. We propose a moduli functor for the moduli space of curves and show that it is representable by a geometric stack over the category of rational polyhedral cones. In this framework, the natural forgetful morphisms between moduli spaces of curves with marked points function as universal curves.
Databáze: Directory of Open Access Journals