| Title: | Geometric compactification of moduli space of cubic surfaces and Kirwan blowup |
| Author: | Zhang, Jun |
| Advisor: | Hassett, Brendan |
| Type: | Ph.D. Thesis |
| 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. |
| URI: | http://hdl.handle.net/1911/19005 |
| Date: | 2005 |
| Files | Size | Format | View |
|---|---|---|---|
| 3216810.PDF | 2.262Mb | application/pdf |
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