Geometry & Topology Volume 13, issue 3 (2009)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Procedure

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Other MSP Journals

A simply connected surface of general type with $p_g=0$ and $K^2=4$

Heesang Park, Jongil Park and Dongsoo Shin

Geometry & Topology 13 (2009) 1483–1494

DOI: 10.2140/gt.2009.13.1483

Bibliography

1	T Aubin, Équations du type Monge-Ampère sur les variétés kähleriennes compactes, C. R. Acad. Sci. Paris Sér. A-B 283 (1976) MR0433520
2	R Barlow, A simply connected surface of general type with $p_g=0$, Invent. Math. 79 (1985) 293 MR778128
3	W P Barth, K Hulek, C A M Peters, A Van de Ven, Compact complex surfaces, Ergebnisse der Math. und ihrer Grenzgebiete. 3. Folge. A Ser. of Modern Surveys in Math. 4, Springer (2004) MR2030225
4	J Kollár, S Mori, Birational geometry of algebraic varieties, Cambridge Tracts in Math. 134, Cambridge Univ. Press (1998) MR1658959
5	Y Lee, J Park, A simply connected surface of general type with $p_g=0$ and $K^2=2$, Invent. Math. 170 (2007) 483 MR2357500
6	H Park, J Park, D Shin, A simply connected surface of general type with $p_g=0$ and $K^2=3$, Geom. Topol. 13 (2009) 743
7	J Park, Simply connected symplectic $4$–manifolds with $b^+_2=1$ and $c^2_1=2$, Invent. Math. 159 (2005) 657 MR2125736
8	U Persson, Configurations of Kodaira fibers on rational elliptic surfaces, Math. Z. 205 (1990) 1 MR1069483
9	R Răsdeaconu, I Şuvaina, Smooth structures and Einstein metrics on $\mathbb{CP}^2 \# 5, 6, 7\overline{\mathbb{CP}^2}$ arXiv:0806.1424
10	S T Yau, Calabi's conjecture and some new results in algebraic geometry, Proc. Nat. Acad. Sci. U.S.A. 74 (1977) 1798 MR0451180