Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 44, No. 2, pp. 559565 (2003) 

Generalized Hodge classes on the moduli space of curvesGilberto BiniKortewegde Vries Insituut, Plantage Muidergracht 241018 TV Amsterdam (NL), Niederlande; email: gbini@science.uva.nl Abstract: On the moduli space of curves we consider the cohomology classes $\mu_j(s), s \in {\mathbb N}, s \geq 2$, which can be viewed as a generalization of the Hodge classes $\lambda_i$ defined by Mumford in [M]. Following the methods used in this paper, we prove that the $\mu_j(s)$ belong to the tautological ring of the moduli space. [M] Mumford, D.: Towards an enumerative geometry of the moduli space of curves. In: Arithmetic and Geometry (M. Artin and J. Tate, eds.) Part II, Birkhäuser 1983, 271328. Classification (MSC2000): 14H10; 14C40, 19L10, 19L6 Full text of the article:
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