A complex surface of general type with p_g=0, K^2=2 and H_1=Z/2Z, Z/3Z

Details A complex surface of general type with p_g=0, K^2=2 and H_1=Z/2Z, Z/3Z A complex surface of general type with p_g=0, K^2=2 and H_1=Z/2Z, Z/3Z

2008-03-02

arxiv.org/abs/0803.0090v4

Mathematics

Algebraic Geometry

A title is changed and a section is added; 8 pages, 4 figures

Scientific paper

As the sequel to [3], we construct a minimal complex surface of general type
with p_g=0, K^2=2 and H_1=Z/2Z using a rational blow-down surgery and
Q-Gorenstein smoothing theory. We also present an example of p_g = 0,K^2 = 2
and H_1 = Z/3Z.

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