Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces
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arXiv
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| Format: | Preprint |
| Published: |
2009
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| _version_ | 1866909609281716224 |
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| author | Alexeev, Valery Pardini, Rita |
| author_facet | Alexeev, Valery Pardini, Rita |
| contents | We describe explicitly the geometric compactifications, obtained by adding slc surfaces $X$ with ample canonical class, for two connected components in the moduli space of surfaces of general type: Campedelli surfaces with $π_1(X)=\mathbb Z_2^3$ and Burniat surfaces with $K^2=6$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0901_4431 |
| institution | arXiv |
| publishDate | 2009 |
| record_format | arxiv |
| spellingShingle | Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces Alexeev, Valery Pardini, Rita Algebraic Geometry 14J10, 14J29 We describe explicitly the geometric compactifications, obtained by adding slc surfaces $X$ with ample canonical class, for two connected components in the moduli space of surfaces of general type: Campedelli surfaces with $π_1(X)=\mathbb Z_2^3$ and Burniat surfaces with $K^2=6$. |
| title | Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces |
| topic | Algebraic Geometry 14J10, 14J29 |
| url | https://arxiv.org/abs/0901.4431 |