The Chow group of the moduli space of marked cubic surfaces

Colombo, Elisabetta; van Geemen, Bert
Bibliographical reference

eprint arXiv:math/0210465

Advertised on:
10
2002
Number of authors
2
IAC number of authors
0
Citations
0
Refereed citations
0
Description
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.