A simply connected surface of general type with p_g=0 and K^2=3

Details A simply connected surface of general type with p_g=0 and K^2=3 A simply connected surface of general type with p_g=0 and K^2=3

2007-08-02

arxiv.org/abs/0708.0273v3

Mathematics

Algebraic Geometry

17 pages, 10 figures, a section regarding a symplectic 4-manifold with K^2=4 is added

Scientific paper

Motivated by a recent result of Y. Lee and the second author[7], we construct
a simply connected minimal complex surface of general type with p_g=0 and K^2=3
using a rational blow-down surgery and Q-Gorenstein smoothing theory. In a
similar fashion, we also construct a new simply connected symplectic 4-manifold
with b_2^+=1 and K^2=4.

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