Geometry & Topology
- Geom. Topol.
- Volume 13, Number 2 (2009), 743-767.
A simply connected surface of general type with $p_g=0$ and $K^2=3$
Motivated by a recent result of Y Lee and the second author [Invent. Math. 170 (2007) 483-505], we construct a simply connected minimal complex surface of general type with and using a rational blow-down surgery and –Gorenstein smoothing theory. In a similar fashion, we also construct a new simply connected symplectic –manifold with and .
Geom. Topol., Volume 13, Number 2 (2009), 743-767.
Received: 10 February 2008
Revised: 6 December 2008
Accepted: 4 December 2008
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14J29: Surfaces of general type
Secondary: 14J10: Families, moduli, classification: algebraic theory 14J17: Singularities [See also 14B05, 14E15] 53D05: Symplectic manifolds, general
Park, Heesang; Park, Jongil; Shin, Dongsoo. A simply connected surface of general type with $p_g=0$ and $K^2=3$. Geom. Topol. 13 (2009), no. 2, 743--767. doi:10.2140/gt.2009.13.743. https://projecteuclid.org/euclid.gt/1513800216