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

Abstract

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.

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

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Cited by in corpus (10)

• A simply connected surface of general type with p_g=0 and K^2=4
• Quotients of products of curves, new surfaces with $p_g=0$ and their fundamental groups
• Cylinders in del Pezzo surfaces
• New examples of Calabi-Yau threefolds and genus zero surfaces
• The Craighero-Gattazzo surface is simply-connected
• Normal complex surface singularities with rational homology disk smoothings
• Rational blow-downs and smoothings of surface singularities
• A complex surface of general type with p_g=0, K^2=2 and H_1=Z/2Z, Z/3Z
• Brauer group of punctual Quot scheme of points on a smooth projective surface
• Unprojection and deformations of tertiary Burniat surfaces