A simply connected surface of general type with p_g=0 and K^2=3
Algebraic Geometry
2014-11-11 v3 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.0708.0273,
title = {A simply connected surface of general type with p_g=0 and K^2=3},
author = {Heesang Park and Jongil Park and Dongsoo Shin},
journal= {arXiv preprint arXiv:0708.0273},
year = {2014}
}
Comments
17 pages, 10 figures, a section regarding a symplectic 4-manifold with K^2=4 is added