A simply connected surface of general type with $p_g=1$, $q=0$, and $K^2=8$

Details A simply connected surface of general type with $p_g=1$, $q=0$, and $K^2=8$ A simply connected surface of general type with $p_g=1$, $q=0$, and $K^2=8$

2009-10-19

arxiv.org/abs/0910.3506v1

Mathematics

Algebraic Geometry

5 pages, 5 figures

Scientific paper

We construct a new family of simply connected minimal complex surfaces with
$p_g=1$, $q=0$, and $K^2=8$ using a $\mathbb{Q}$-Gorenstein smoothing theory.

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