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The Chow group of the moduli space of marked cubic surfaces

Elisabetta Colombo·Bert van Geemen
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Abstract

Naruki gave an explicit construction of the moduli space of marked cubic surfaces, starting from a toric variety and proceeding with blow ups and contractions. Using his result, we compute the Chow groups and the Chern classes of this moduli space.As an application we relate a recent result of Freitag on the Hilbert polynomial of a certain ring of modular forms to the Riemann-Roch theorem for the moduli space.

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Elisabetta Colombo, Bert van Geemen. 2002-10-30. The Chow group of the moduli space of marked cubic surfaces. https://arxiv.org/abs/math/0210465

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