Middle convolution of Fuchsian systems and the construction of rigid differential systems
Middle convolution of Fuchsian systems and the construction of rigid differential systems
复制标题
Fuchsian系统的中卷积与刚性微分系统的构造
DOI：
10.1016/j.jalgebra.2007.08.029
复制
发表时间：
2007
影响因子：
0.9
通讯作者：
Stefan Reiter
中科院分区：
文献类型：
--
作者：
M. Dettweiler;Stefan Reiter
在[M.德特韦勒，S. Reiter，Katz算法及其在逆Galois问题中的应用，J. Symbolic Comput. 30（2000）761-798]，Katz中卷积函子的纯代数类比（参见[N.M. Katz，Rigid Local Systems，Ann. of Math. Stud.，第139卷，普林斯顿大学出版社，1997]）。在本文中，我们找到了一个明确的Riemann-Hilbert对应这个函子。这导致了一个构造算法的微分系统对应于刚性局部系统的穿孔仿射线通过黎曼-希尔伯特对应。
In [M. Dettweiler, S. Reiter, An algorithm of Katz and its application to the inverse Galois problem, J. Symbolic Comput. 30 (2000) 761–798], a purely algebraic analogon of Katz' middle convolution functor (see [N.M. Katz, Rigid Local Systems, Ann. of Math. Stud., vol. 139, Princeton University Press, 1997]) is given. In this paper, we find an explicit Riemann–Hilbert correspondence for this functor. This leads to a construction algorithm for differential systems which correspond to rigid local systems on the punctured affine line via the Riemann–Hilbert correspondence.
刚性单性大久保范式微分方程组的构造
DOI：
--
发表时间：
2006
期刊：
Math. Nachr 279
影响因子：
--
作者：
Shuichi Gunji;et. al.;M. Kato,;C. Eisner;S. Shimomura;Yoshishige Haraoka;S. Shimomura,;S. Tanabe,;S. Tanabe.;Y. Haraoka and G. Filipuk;Shun Shimomura;Shun Shimomura;Carsten Elsner;Susumu Tanabe;Susumu Tanabe;Susumu Tanabe;S. Tanabe,;S. Shimomura,;T. Sadahiro,;Y. Haraoka and T. Yokoyama;T. Yokoyama,
通讯作者：
T. Yokoyama,