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arXiv · 2103.16893

Virus infections, Corona surfaces, and extra components in the moduli space of stable surfaces

Sönke Rollenske
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Abstract

We construct examples of non-smoothable stable surfaces, that we call Corona surfaces, with invariants in a wide range comprising all possible invariants of smooth minimal surfaces of general type but non-standard second plurigenus. We deduce that the moduli space of stable surfaces $\overline{\mathfrak M}_{k,l}$ has least $k-l+2$ connected components distinguished by the second plurigenus and, in particular, it always has more irreducible components than the Gieseker moduli space with the same invariants.

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Sönke Rollenske. 2021-03-31. Virus infections, Corona surfaces, and extra components in the moduli space of stable surfaces. https://arxiv.org/abs/2103.16893

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