About
Mgnbar.info is an interactive overview of what is known about the geometry of the moduli space of stable n-pointed genus g curves and of its interior, the moduli space of smooth pointed curves. Choose a layer above the table to switch between invariants: the Kodaira dimension, whether the Chow ring is generated by tautological classes, and whether point counts over finite fields are polynomial. Click a cell to read off the value together with its references.
The website started as a static table of the Kodaira dimension made by Ignacio Barros, and was extended into this interactive resource by Pieter Belmans. The source code and the underlying data live on GitHub, where suggestions and corrections are very welcome.
How to cite
@misc{mgnbar,
author = {Barros, Ignacio and Belmans, Pieter},
title = {Mgnbar.info: the geometry of the moduli space of curves},
howpublished = {\url{https://mgnbar.info}},
year = {2026},
}