English

The Chow group of the moduli space of marked cubic surfaces

Algebraic Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0210465,
  title  = {The Chow group of the moduli space of marked cubic surfaces},
  author = {Elisabetta Colombo and Bert van Geemen},
  journal= {arXiv preprint arXiv:math/0210465},
  year   = {2007}
}

Comments

23 pages, LaTeX