n 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 M̄2,n.
A formula for the Euler characteristic of the moduli space of genus 2 pointed curves / G. Bini, G. Giovanni, M. Polito. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - 236:3(2001), pp. 491-523. [10.1007/PL00004839]
A formula for the Euler characteristic of the moduli space of genus 2 pointed curves
G. Bini
;
2001
Abstract
n 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 M̄2,n.
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