Monodromies of algebraic connections on the trivial bundle

被引:0
作者
Jun, B [1 ]
机构
[1] Univ Essen Gesamthsch, FB 6, D-45117 Essen, Germany
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2000年 / 331卷 / 10期
关键词
D O I
10.1016/S0764-4442(00)01696-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this Note, we study monodromies of algebraic connections on the trivial vector bundle. We prove that on a smooth complex affine curve, any monodromy arises as the underlying local system of an algebraic connection on the trivial bundle. We give a generalization of this for rank one monodromies in higher dimension. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码:809 / 813
页数:5
相关论文
共 6 条
  • [1] [Anonymous], 1955, ANN I FOURIER
  • [2] [Anonymous], 1970, LECT NOTES MATH
  • [3] Atiyah M. F., 1957, Proceedings of the London Mathematical Society, V7, P414, DOI 10.1112/plms/s3-7.1.414
  • [4] Bourbaki, 1983, ELEMENTS MATH ALGEBR
  • [5] DELIGNE P, 1999, COMMUNICATION 0422
  • [6] Grothendieck A., 1966, Publ. Math., Inst. Hautes Etud. Sci., V29, P95, DOI DOI 10.1007/BF02684807