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Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces

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arxiv 0901.4431 v4 pith:N7UQR3MK submitted 2009-01-28 math.AG

Valery Alexeev , Rita Pardini This is my paper · ORCID
classification math.AG
keywords surfacesburniatcampedellicompactificationsmoduliaddingamplecanonical
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abstract

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 $\pi_1(X)=\mathbb Z_2^3$ and Burniat surfaces with $K^2=6$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Foliated Minimal Models and Flops

    math.AG 2026-08 conditional novelty 8.0 of 10

    Rank one foliations with canonical singularities have unique minimal models; co-rank one threefolds admit D-flops in klt and F-dlt settings, while new examples show flops and canonical models can fail.

  2. Effective characterization of semi-abelian varieties

    math.AG 2026-07 conditional novelty 7.0 of 10

    Under maximal Albanese dimension, P_2(V)=1 implies V is isomorphic to a semi-abelian variety away from a codimension-2 subset.

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