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Surfaces of general type with pg=1 and q=0

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We construct a new family of simply connected minimal complexsurfaces of general type with pg = 1, q = 0, and K2 = 3, 4, 5, 6, 8 using a Q-Gorenstein smoothing theory.

Abstract

We construct a new family of simply connected minimal complexsurfaces of general type with pg = 1, q = 0, and K2 = 3, 4, 5, 6, 8 using a Q-Gorenstein smoothing theory.

참고문헌 (17)

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  10. Y. Lee, "A simply connected surface of general type with pg = 0 and K2 = 2", Invent. Math, 170(3), pp.483~505 (2007)
  11. Y. Lee, "A construction of Horikawa surface via Q-Gorenstein smoothings", Math. Z, 267(1-2), pp.15~25 (2011)
  12. B. D. Park, "Exotic smooth structures on 3CP2#nCP2 , Part II", Proc. Amer. Math. Soc, 128(10), pp.3067~3073 (2000)
  13. J. Park, "Exotic smooth structures on 3CP2#8CP2", Bull. London Math. Soc, 39(1), pp.95~102 (2007)
  14. H. Park, "A simply connected surface of general type with pg = 0 and K2 = 3", Geom. Topol, 13(2), pp.743~767 (2009)
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  16. A. Stipsicz, "Small exotic 4-manifolds with b+ 2 = 3", Bull. London Math. Soc, 38(3), pp.501~506 (2006)
  17. A. Todorov, "A construction of surfaces with pg = 1, q = 0 and 2 ≤(K2) ≤ 8 : Counterexamples of the global Torelli theorem", Invent. Math, 63(2), pp.287~304 (1981)

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