A characterization of Burniat surfaces with K^2 = 4 and of non nodal type
A characterization of Burniat surfaces with K^2 = 4 and of non nodal type
摘要
Let S be a minimal surface of general type with pg(S) = 0 and K_S^2= 4. Assume the bicanonical map ψ of S is a morphism of degree 4 such that the image of ψ is smooth. Then we prove that the surface S is a Burniat surface with K^2= 4 and of non nodal type.
Let S be a minimal surface of general type with pg（S） = 0 and K_S^2= 4. Assume the bicanonical map ψ of S is a morphism of degree 4 such that the image of ψ is smooth. Then we prove that the surface S is a Burniat surface with K^2= 4 and of non nodal type.
基金
supported by Shanghai Center for Mathematical Sciences
参考文献21
-
1Mendes Lopes M, Pardini R. The degree of the bicanonical map of a surface with pg = 0. Proc Amer Math Soc, 2007, 135:1279-1282.
-
2Mendes Lopes M, Pardini R. Numerical Campedelli surfaces with fundamental group of order 9. J Eur Math Soc, 2008, 10:457-476.
-
3Miyaoka Y. The maximal number of quotient singularities on surfaces with given numerical invariants. Math Ann, 1984, 268:159-171.
-
4Nagata M. On rational surfaces I: Irreducible curves of arithmetic genus 0 or 1. Mem Coil Sci Univ Kyoto Ser A Math, 1960, 32:351 370.
-
5Pardini R. Abelian covers of algebraic varieties. J Reine Angew Math, 1991, 417:191 213.
-
6Pardini R. The classification of double planes of general type with K2 : 8 and pg = 0. J Algebra, 2003, 259:95-118.
-
7Reider I. Vector bundles of rank 2 and linear systems on algebraic surfaces. Ann of Math (2), 1988, 127:309-316.
-
8Xiao G. Finitude de l'application bicanonique des surfaces de type g~n@ral. Bull Soc Math France, 1985, 113:23 51.
-
9Zhang L. Characterization of a class of surfaces with pg = 0 and /~2 = 5 by their bicanonical maps. Manuscripta Math. 2011. 135:165 181.
-
10Barth W, Peters C, Van de Ven A. Compact Complex Surfaces. New York: Springer-Verlag, 1984.
-
1王德有.应用NODAL分析程序计算表皮系数[J].石油钻采工艺,1989,11(5):57-60.
-
2孙新,查庆芳,吴明铂,李兆丰,毛华香.石油焦基炭分子筛的制备及表面表征[J].炭素技术,2004,23(2):14-18. 被引量：6
-
3张云,赵奇,杨宏伟.基于图像处理的中华绒螯蟹性早熟问题的研究[J].安徽农业科学,2007,35(30):9572-9573.
-
4闫利平,李闯,郭炳冉.Nodal在大鼠卵巢各不同发育时期卵泡中的表达模式[J].细胞生物学杂志,2009,31(3):419-423.
-
5叶银珠,王正波.可动凝胶深部调驱数值模拟研究现状及发展方向[J].内蒙古石油化工,2010,36(9):157-160. 被引量：5
-
6魏茂安,靳世久,李莺莺,崔谦.油气管道缺陷二维轮廓重建及处理技术[J].石油学报,2003,24(6):98-101. 被引量：10
-
7仲崇文,曹华.人工用材林的产业链化经营[J].东北林业大学学报,2008,36(10):59-62. 被引量：1
-
8崔巍,高珏,朱培逸,徐金星,邓婉.基于机器视觉的金桔大小分级研究[J].常熟理工学院学报,2012,26(4):87-90. 被引量：4
-
9WaferMasters推出表面光度测量系统OSP-300提供非破坏性晶圆表面表征[J].电子工业专用设备,2008,37(7):71-71.
-
10张晖,陈秋生.鸡胚器官左右不对称性发育的研究进展[J].动物医学进展,2005,26(12):29-35.
