A construction of Horikawa surface via Q-Gorenstein smoothings

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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.
10 pages, some corrections and Proposition 3.1 is added

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Algebraic Geometry, Geometric Topology, 14J29, 14J10, 14J17

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http://salesiana.dossiersoluciones.com/handle/123456789/162836

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.3319
 http://arxiv.org/abs/0708.3319

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arXiv