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arXiv · 1404.3548

Computing invariants of semi-log-canonical surfaces

Marco Franciosi·Rita Pardini·Sönke Rollenske
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Abstract

We describe some methods to compute fundamental groups, (co)homology, and irregularity of semi-log-canonical surfaces. As an application, we show that there are exactly two irregular Gorenstein stable surfaces with $K^2=1$, both of which have $χ(X) = 0$ and $\mathrm{Pic}^0(X)=\mathbb{C}^*$ but different homotopy type.

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Marco Franciosi, Rita Pardini, Sönke Rollenske. 2014-04-14. Computing invariants of semi-log-canonical surfaces. https://arxiv.org/abs/1404.3548

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