期刊文献+

A note on finite abelian covers

A note on finite abelian covers
原文传递
导出
摘要 We prove that any abelian cover over a smooth variety is defined by some cyclic equations. From the defining equations, we compute explicitly the normalization, branch locus, ramification indices, global invariants, and the resolution of singularities. As an application, we construct a new algebraic surface which is the quotient of ball. We prove that any abelian cover over a smooth variety is defined by some cyclic equations. From the defining equations, we compute explicitly the normalization, branch locus, ramification indices, global invariants, and the resolution of singularities. As an application, we construct a new algebraic surface which is the quotient of ball.
作者 GAO Yun
出处 《Science China Mathematics》 SCIE 2011年第7期1333-1342,共10页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant No.10731030) the Innovation Program of Shanghai Municipal Education Commission (Grant No. 11ZZ18)
关键词 abelian cover NORMALIZATION IRREGULARITY the quotient of ball 阿贝尔 代数曲面 正常化 不变量 奇异性 定义 公式 分枝
  • 相关文献

参考文献19

  • 1谈胜利.GALOIS TRIPLE COVERS OF SURFACES[J].Science China Mathematics,1991,34(8):935-942. 被引量:2
  • 2Masa-Nori Ishida.The irregularities of Hirzebruch’s examples of surfaces of general type withc 1 2 =3c 2[J]. Mathematische Annalen . 1983 (3)
  • 3Ludwig Baur.Aufstellung eines vollst?ndigen Systems von Differentialen erster Gattung in einem cubischen Functionenk?rper[J]. Mathematische Annalen . 1895 (1)
  • 4Bauer L.Theorie der funktionen eines cubischen Krper. Mathematische Annalen . 1893
  • 5Bauer I,Catanese F.A volume maximing canonical surface in 3-space. Commentarii Mathematici Helvetici . 2008
  • 6Catanese F.Singular bidouble covers and the construction of interesting algebraic surface. Algebraic Geometry: Hirzebruch 70 . 1999
  • 7Esnault H,Viehweg E.Lecture on Vanishing. DMV Seminar . 1992
  • 8Libgober A.Abelian branched covers of projective plane. Singularity Theory . 1999
  • 9Zuo K.Kummer-u¨berlagerungen algebraischer Flchen. . 1988
  • 10G. Bliss.Algebraic functions. . 1933

共引文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部