Stable pair, tropical, and log canonical compact moduli of del Pezzo surfaces
arXiv:math/0702505 · doi:10.1007/s00222-009-0199-1
Abstract
We give a functorial normal crossing compactification of the moduli of smooth marked cubic surfaces entirely analogous to the Grothendieck-Knudsen compactification $M_{0,n} \subset \bar{M}_{0,n}$.
49 pages, 8 figures. v2: Added section 3 "Iitaka fibration for subvarieties of algebraic tori"