A simply connected surface of general type with pg=0 and K2=2

被引:70
|
作者
Lee, Yongnam [1 ]
Park, Jongil
机构
[1] Sogang Univ, Dept Math, Seoul 121742, South Korea
[2] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
关键词
D O I
10.1007/s00222-007-0069-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we construct a simply connected, minimal, complex surface of general type with p(g) = 0 and K-2 = 2 using a rational blow-down surgery and a Q-Gorenstein smoothing theory.
引用
收藏
页码:483 / 505
页数:23
相关论文
共 50 条
  • [41] On Connected m - K2 - Residual Graphs
    Duan, Huiming
    Bo, Zeng
    Jin, Liying
    ARS COMBINATORIA, 2016, 125 : 23 - 32
  • [42] BLOCH'S CONJECTURE FOR INOUE SURFACES WITH pg=0, K2=7
    Bauer, I.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142 (10) : 3335 - 3342
  • [43] Characterization of a class of surfaces with pg = 0 and K2 = 5 by their bicanonical maps
    Lei Zhang
    Manuscripta Mathematica, 2011, 135 : 165 - 181
  • [44] Some bidouble planes with pg = q=0 and 4 ≤ K2 ≤ 7
    Rito, Carlos
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2015, 26 (05)
  • [45] Rational configurations in K3 surfaces and simply-connected pg=1 surfaces with K2=1, 2, 3, 4, 5, 6, 7, 8, 9
    Reyes, Javier
    Urzua, Giancarlo
    MATHEMATISCHE ZEITSCHRIFT, 2022, 302 (04) : 2435 - 2467
  • [46] KSBA surfaces with elliptic quotient singularities, π1 = 1, pg = 0, and K2 = 1, 2
    Arié Stern
    Giancarlo Urzúa
    Israel Journal of Mathematics, 2016, 214 : 651 - 673
  • [47] The extension of the D(−k2)-pair {k2,k2 + 1}
    Yasutsugu Fujita
    Alain Togbé
    Periodica Mathematica Hungarica, 2012, 65 : 75 - 81
  • [48] Cuspidal quintics and surfaces with pg=0, K2=3 and 5-torsion
    Rito, Carlos
    LMS JOURNAL OF COMPUTATION AND MATHEMATICS, 2016, 19 (01): : 42 - 53
  • [49] K2 Variable Catalogue: Variable stars and eclipsing binaries in K2 campaigns 1 and 0
    Armstrong, D. J.
    Kirk, J.
    Lam, K. W. F.
    McCormac, J.
    Walker, S. R.
    Brown, D. J. A.
    Osborn, H. P.
    Pollacco, D. L.
    Spake, J.
    ASTRONOMY & ASTROPHYSICS, 2015, 579
  • [50] On -: K2 for normal surface singularities
    Chen, H
    Ishii, S
    INTERNATIONAL JOURNAL OF MATHEMATICS, 1998, 9 (06) : 653 - 668