A complex surface of general type with p_g=0, K²=4, and π₁=ℤ/2ℤ

2009/10/19 by Park, Heesang
#14J10 #14J17 #14J29 #53D05 #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.0910.3476

Abstract

We construct a minimal complex surface of general type with p_g=0, K² =4, and π₁=ℤ/2ℤ using a rational blow-down surgery and a ℚ-Gorenstein smoothing theory. In a similar fashion, we also construct a symplectic 4-manifold with b₂⁺=1, K²=5, and π₁=ℤ/2ℤ.

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