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

Dan Petersen

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arXiv · 1606.06716

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

Dan Petersen

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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.

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Dan Petersen. 2017-02-16. A vanishing result for tautological classes on the moduli of K3 surfaces. https://arxiv.org/abs/1606.06716

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