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A COMPLEX SURFACE OF GENERAL TYPE WITH pg = 0, K2 = 3 AND H1 = Z=2Z
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As the sequel to our previous work [4], we construct a minimal complex surface of general type with pg = 0;K2 = 3 and H1 = Z=2Z by using a rational blow-down surgery and Q-Gorenstein smoothing theory.
Abstract
As the sequel to our previous work [4], we construct a minimal complex surface of general type with pg = 0;K2 = 3 and H1 = Z=2Z by using a rational blow-down surgery and Q-Gorenstein smoothing theory.
참고문헌 (5)
- D. Cartwright, "Enumeration of the 50 fake projective planes", C. R. Math. Acad. Sci. Paris, 348(1), pp.11~13 (2010)
- Y. Lee, "A simply connected surface of general type with pg = 0 and K2 = 2", Invent. Math., 170(3), pp.483~505 (2007)
- Y. Lee, "A complex surface of general type with pg = 0, K2 = 2 and H1 = Z", 2Z, 2009, pp.16(2), 323~330
- H. Park, "A simply connected surface of general type with pg = 0 and K2 = 3", Geom. Topol., 13(2), pp.743~767 (2009)
- U. Persson, "Configurations of Kodaira fibers on rational elliptic surfaces", Math. Z., 205(1), pp.1~47 (1990)
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