A construction of Horikawa surface via Q-Gorenstein smoothings

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We prove that the Fintushel-Stern construction of a Horikawa surface, which is obtained from elliptic surface via a rational blow-down surgery in the smooth category, can be performed in the complex category. The main technique involved is Q-Gorenstein smoothings.
Publisher
SPRINGER
Issue Date
2011-02
Language
English
Article Type
Article
Keywords

ALGEBRAIC-SURFACES; PLANE-CURVES; SINGULARITIES; DEFORMATIONS; COMPLEX; MODULI

Citation

MATHEMATISCHE ZEITSCHRIFT, v.267, no.1-2, pp.15 - 25

ISSN
0025-5874
DOI
10.1007/s00209-009-0608-6
URI
http://hdl.handle.net/10203/104088
Appears in Collection
MA-Journal Papers(저널논문)
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