Geometric compactification of moduli space of cubic surfaces and Kirwan blowup
Author
Zhang, Jun
Date
2005Advisor
Hassett, Brendan E.
Degree
Doctor of Philosophy
Abstract
We compactify the moduli space of cubic surfaces by constructing a moduli stack of stable cubic and triploid surfaces, together with a projective coarse moduli space. We also give a detailed geometric interpretation. This compactification coincides with the Naruki Cross Ratio Variety. We also show that this compactification can be obtained by taking a certain weighted blowup along the strictly semi-stable stratum from Kirwan's stratification and partial desingularization procedures.
Keyword
Mathematics