Semi-abelian surfaces and integrable systems

被引:0
|
作者
Faye, I [1 ]
机构
[1] Univ Toulouse 3, Lab Emile Picard, UMR 5580, F-31062 Toulouse 04, France
关键词
integrable systems; semi-abelian surfaces; differential equations; asymptotic solutions; divisor of poles; weight-homogeneous systems;
D O I
10.1017/S0013091599000565
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study some weight-homogeneous systems which are not algebraically completely integrable (ACI) in the sense of Adler and van Moerebeke, but whose invariant level surface completes into a semi-abelian variety by adding a set of points (thus ACI in the sense of Mumford).
引用
收藏
页码:249 / 265
页数:17
相关论文
共 50 条
  • [21] Weighted commutators in semi-abelian categories
    Gran, Marino
    Janelidze, George
    Ursini, Aldo
    JOURNAL OF ALGEBRA, 2014, 397 : 643 - 665
  • [22] A REMARK ON THE DYNAMICS OF SEMI-ABELIAN VARIETIES
    Remond, Gael
    PACIFIC JOURNAL OF MATHEMATICS, 2011, 254 (02) : 397 - 406
  • [23] Homology in Relative Semi-Abelian Categories
    Julia Goedecke
    Applied Categorical Structures, 2013, 21 : 523 - 543
  • [24] DIVISION POINTS ON SEMI-ABELIAN VARIETIES
    MCQUILLAN, M
    INVENTIONES MATHEMATICAE, 1995, 120 (01) : 143 - 159
  • [25] Incomplete Relative Semi-Abelian Categories
    Janelidze, Tamar
    APPLIED CATEGORICAL STRUCTURES, 2011, 19 (01) : 257 - 270
  • [26] Coverings of topological semi-abelian algebras
    Mucuk, Osman
    Demir, Serap
    INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016), 2016, 1759
  • [27] A semi-abelian extension of a theorem by Takeuchi
    Gran, Marino
    Sterck, Florence
    Vercruysse, Joost
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2019, 223 (10) : 4171 - 4190
  • [28] On holomorphic curves in semi-Abelian varieties
    Junjiro Noguchi
    Mathematische Zeitschrift, 1998, 228 : 713 - 721
  • [29] Perverse sheaves on semi-abelian varieties
    Yongqiang Liu
    Laurentiu Maxim
    Botong Wang
    Selecta Mathematica, 2021, 27
  • [30] Simplicial homotopy in semi-abelian categories
    Van der Linden, Tim
    JOURNAL OF K-THEORY, 2009, 4 (02) : 379 - 390