The Chow group of the moduli space of marked cubic surfaces

Details The Chow group of the moduli space of marked cubic surfaces The Chow group of the moduli space of marked cubic surfaces

2002-10-30

arxiv.org/abs/math/0210465v1

Mathematics

Algebraic Geometry

23 pages, LaTeX

Scientific paper

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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