A construction of Horikawa surface via Q-Gorenstein smoothings

2007/08/24 by Yongnam Lee, Lee, Yongnam, Jongil Park +2
Mathematics · #14J10 #14J17 #14J29 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric Topology (math.GT) #math.AG #math.GT #msc:14J10 #msc:14J17 #msc:14J29

paper · pdf · doi:10.48550/arxiv.0708.3319

10 pages, some corrections and Proposition 3.1 is added

openalex publication_date 2007/08/24 · arxiv created 2008/06/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we prove that Fintushel-Stern's construction of Horikawa surface, which is obtained from an elliptic surface via a rational blow-down surgery in smooth category, can be performed in complex category. The main technique involved is Q-Gorenstein smoothings.

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