Stable pair, tropical, and log canonical compact moduli of del Pezzo surfaces

Details Stable pair, tropical, and log canonical compact moduli of del Pezzo surfaces Stable pair, tropical, and log canonical compact moduli of del Pezzo surfaces

2007-02-18

arxiv.org/abs/math/0702505v2

Invent. Math. 178 (2009), no. 1, 173-227

Mathematics

Algebraic Geometry

49 pages, 8 figures. v2: Added section 3 "Iitaka fibration for subvarieties of algebraic tori"

Scientific paper

10.1007/s00222-009-0199-1

We give a functorial normal crossing compactification of the moduli of smooth
marked cubic surfaces entirely analogous to the Grothendieck-Knudsen
compactification $M_{0,n} \subset \bar{M}_{0,n}$.

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