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http://dx.doi.org/10.4134/JKMS.2013.50.3.493

SURFACES OF GENERAL TYPE WITH pg = 1 AND q = 0  

Park, Heesang (School of Mathematics Korea Institute for Advanced Study)
Park, Jongil (Department of Mathematical Sciences Seoul National University, Korea Institute for Advanced Study)
Shin, Dongsoo (Department of Mathematics Chungnam National University, Korea Institute for Advanced Study)
Publication Information
Journal of the Korean Mathematical Society / v.50, no.3, 2013 , pp. 493-507 More about this Journal
Abstract
We construct a new family of simply connected minimal complex surfaces of general type with $p_g$ = 1, $q$ = 0, and $K^2$ = 3, 4, 5, 6, 8 using a $\mathbb{Q}$-Gorenstein smoothing theory.
Keywords
$\mathbb{Q}$-Gorenstein smoothing; rational blow-down surgery; surface of general type;
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