A COMPLEX SURFACE OF GENERAL TYPE WITH pg=0, K2=3 AND H1 = ℤ/2ℤ

Title & Authors
A COMPLEX SURFACE OF GENERAL TYPE WITH pg=0, K2=3 AND H1 = ℤ/2ℤ
Park, Hee-Sang; Park, Jong-Il; Shin, Dong-Soo;

Abstract
As the sequel to our previous work [4], we construct a minimal complex surface of general type with $\small{p_g=0}$, $\small{K^2=3}$ and $\small{H_1}$ = $\small{\mathbb{Z}/2\mathbb{Z}}$ by using a rational blow-down surgery and $\small{\mathbb{Q}}$-Gorenstein smoothing the-ory.
Keywords
$\small{\mathbb{Q}}$-Gorenstein smoothing;rational blow-down;surface of general type;
Language
English
Cited by
1.
Godeaux, Campedelli, and surfaces of general type with χ=4 and 2≤K2≤8, Mathematische Nachrichten, 2017
2.
Involutions on surfaces with p g  = q = 0 and K 2 = 3, Geometriae Dedicata, 2012, 157, 1, 319
3.
Construction of surfaces of general type from elliptic surfaces via \$\${\mathbb{Q}}\$\$ -Gorenstein smoothing, Mathematische Zeitschrift, 2012, 272, 3-4, 1243
4.
NEW EXAMPLES OF CALABI–YAU 3-FOLDS AND GENUS ZERO SURFACES, Communications in Contemporary Mathematics, 2014, 16, 02, 1350010
References
1.
D. Cartwright and T. Steger, Enumeration of the 50 fake projective planes, C. R. Math. Acad. Sci. Paris 348 (2010), no. 1-2, 11-13.

2.
Y. Lee and J. Park, A simply connected surface of general type with \$p_g\$ = 0 and \$K^2\$ = 2, Invent. Math. 170 (2007), no. 3, 483-505.

3.
Y. Lee and J. Park, A complex surface of general type with \$p_g\$ = 0, \$K^2\$ = 2 and \$H_1\$ = Z/2Z, Math. Res. Lett. 16 (2009), no. 2, 323-330.

4.
H. Park, J. Park, and D. Shin, A simply connected surface of general type with \$p_g\$ = 0 and \$K^2\$ = 3, Geom. Topol. 13 (2009), no. 2, 743-767.

5.
U. Persson, Configurations of Kodaira fibers on rational elliptic surfaces, Math. Z. 205 (1990), no. 1, 1-47.