A vanishing result for tautological classes on the moduli of K3 surfaces

Abstract

Looijenga's vanishing theorem on the moduli space of curves $M_g$ says that the tautological ring vanishes above degree $g-2$. We prove an analogous result for the tautological cohomology ring of the moduli space of K3 surfaces.

3 pages. v2: Reference added. To appear in Amer J Math

References in corpus (3)

• On the tautological ring of $\M _g$
• Relations in the tautological ring of the moduli space of K3 surfaces
• The Noether-Lefschetz conjecture and generalizations

Cited by in corpus (1)

• Relations in the tautological ring of the moduli space of K3 surfaces