A construction of Horikawa surface via Q-Gorenstein smoothings

Mathematische Zeitschrift (Impact Factor: 0.69). 09/2007; 267(1-2). DOI: 10.1007/s00209-009-0608-6
Source: arXiv


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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