The birational geometry of moduli of cubic surfaces and cubic surfaces with a line

Abstract

We determine the cones of effective and nef divisors on the toroidal compactification of the ball quotient model of the moduli space of complex cubic surfaces with a chosen line. From this we also compute the corresponding cones for the moduli space of unmarked cubics surfaces.

Final version, to appear in Moduli

References in corpus (3)

• admcycles -- a Sage package for calculations in the tautological ring of the moduli space of stable curves
• A Complex Ball Uniformization of the Moduli Space of Cubic Surfaces Via Periods of K3 Surfaces
• Non-isomorphic smooth compactifications of the moduli space of cubic surfaces