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arxiv: 0803.1322 · v2 · submitted 2008-03-09 · 🧮 math.AG · math.GT

A complex surface of general type with p_g=0, K²=3 and H₁=Z/2Z

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This paper is an addendum to [4], in which the authors constructed a simply connected minimal complex surface of general type with p_g=0 and K^2=3. In this paper we construct a new non-simply connected minimal surface of general type with p_g=0, K^2=3 and H_1=Z/2Z using a rational blow-down surgery and Q-Gorenstein smoothing theory.

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