A construction of Horikawa surface via Q-Gorenstein smoothings

Details A construction of Horikawa surface via Q-Gorenstein smoothings A construction of Horikawa surface via Q-Gorenstein smoothings

2007-08-24

arxiv.org/abs/0708.3319v3

Mathematics

Algebraic Geometry

10 pages, some corrections and Proposition 3.1 is added

Scientific paper

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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