On the first steps of the minimal model program for the moduli space of stable pointed curves
Algebraic Geometry
2023-03-21 v4
Abstract
The aim of this paper is to study all the natural first steps of the minimal model program for the moduli space of stable pointed curves. We prove that they admit a modular interpretation and we study their geometric properties. As a particular case, we recover the first few Hassett-Keel log canonical models. As a by-product, we produce many birational morphisms from the moduli space of stable pointed curves to alternative modular projective compactifications of the moduli space of pointed curves.
Keywords
Cite
@article{arxiv.1808.00231,
title = {On the first steps of the minimal model program for the moduli space of stable pointed curves},
author = {Giulio Codogni and Luca Tasin and Filippo Viviani},
journal= {arXiv preprint arXiv:1808.00231},
year = {2023}
}
Comments
51 pages, 9 figures. Final version, to appear on Journal of the Institute of Mathematics of Jussieu