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arXiv · 1404.7027

A new irreducible component of the moduli space of stable Godeaux surfaces

Sönke Rollenske
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Abstract

We construct from a general del Pezzo surface of degree 1 a Gorenstein stable surfaces $X$ with $K_X^2=1$ and $p_g(X)=q(X)=0$. These surfaces are not smoothable but give an open subset of an irreducible component of the moduli space of stable Godeaux surfaces. In a particular example we also compute the canonical ring explicitly and discuss the behaviour of pluricanonical maps.

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Sönke Rollenske. 2014-04-28. A new irreducible component of the moduli space of stable Godeaux surfaces. https://arxiv.org/abs/1404.7027

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