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

preprint2007arXivOpen access

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

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