On the Kodaira dimension of the moduli space of curves. II: The even-genus case
This is a continuation of the author's joint paper with \textit{D. Mumford} [Invent. Math. 67, 23-86 (1982; Zbl 0506.14016)]. Here the author proves the following very important theorem: for g even and \(\geq 40\) the moduli space \(M_ g\) of curves of genus g is of general type. The main point is the hard calculation of a few intersection numbers, hence the proof of a few enumerative formulas about \(g^ 1_ d\) on a general curve. Recently \textit{D. Eisenbud} and the author [Bull. Am. Math. Soc. 10, 277-280 (1984; Zbl 0533.14013)] announced that \(M_ g\) is of general type if \(g\geq 24\).
scientific article; zbMATH DE number 3861319