We describe some general 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, which have \chi( X ) = 0 and Pic^0(X) = C* but different homotopy type.

### Computing invariants of semi-log-canonical surfaces

#### Abstract

We describe some general 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, which have \chi( X ) = 0 and Pic^0(X) = C* but different homotopy type.
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2015
Franciosi, Marco; Pardini, Rita; Rollenske, Sönke
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/753965