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

2008/03/02 by Yongnam Lee, Lee, Yongnam, Jong‐Il Park +1
Mathematics · #14J10 #14J17 #14J29 #53D05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.0803.0090

openalex publication_date 2008/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

As the sequel to [3], we construct a minimal complex surface of general type with p_g=0, K²=2 and H₁=Z/2Z using a rational blow-down surgery and Q-Gorenstein smoothing theory. We also present an example of p_g = 0,K² = 2 and H₁ = Z/3Z.

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