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We construct various examples of simply connected minimal complex surfaces of general type with $p_g=0$ and $K^2=1,2$ using $\mathbb{Q}$-Gorenstein smoothing method.
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참고문헌 (6)
참고문헌 신청
P. Hacking / 2012 / Compact moduli spaces of surfaces of general type, Compact moduli spaces and vector bundles / Contemp. Math. 564:1~18
J. Kollár / 1988 / Threefolds and deformations of surface singularities / Invent. Math 91(2):299~338
Y. Lee / 2007 / A simply connected surface of general type with pg = 0 and K2 = 2 / Invent. Math 170(3):483~505
H. Park / 2009 / A simply connected surface of general type with pg = 0and K2 = 3 / Geom. Topol 13(2):743~767
H. Park / 2009 / A simply connected surface of general type with pg = 0 and K2 = 4 / Geom. Topol 13(3):1483~1494
J. Kollár / 1988 / Threefolds and deformations of surface singularities / Invent. Math 91(2):299~338
Y. Lee / 2007 / A simply connected surface of general type with pg = 0 and K2 = 2 / Invent. Math 170(3):483~505
H. Park / 2009 / A simply connected surface of general type with pg = 0and K2 = 3 / Geom. Topol 13(2):743~767
H. Park / 2009 / A simply connected surface of general type with pg = 0 and K2 = 4 / Geom. Topol 13(3):1483~1494
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