6533b826fe1ef96bd1283f6d
RESEARCH PRODUCT
A formula for the Euler characteristic of $\overline{{\cal M}}_{2,n}$
M. PolitoG. BiniGiovanni Gaiffisubject
euler characteristicOverlineGeneral MathematicsMathematical analysisStratification (mathematics)Moduli spaceCombinatoricssymbols.namesakeMathematics::Algebraic GeometryEuler characteristicsymbolsEnumerationSettore MAT/03 - GeometriaCompactification (mathematics)Mathematicsdescription
In this paper we compute the generating function for the Euler characteristic of the Deligne-Mumford compactification of the moduli space of smooth n-pointed genus 2 curves. The proof relies on quite elementary methods, such as the enumeration of the graphs involved in a suitable stratification of \(\overline{{\cal M}}_{2,n}\).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-03-01 | Mathematische Zeitschrift |