FINITE MONODROMY OF POCHHAMMER EQUATION

被引：15
|
作者：
HARAOKA, Y [1 ]
机构：
[1] KUMAMOTO UNIV,GRAD SCH SCI & TECHNOL,DEPT MATH,KUMAMOTO 860,JAPAN
来源：
ANNALES DE L INSTITUT FOURIER | 1994年 / 44卷 / 03期
关键词：
GROTHENDIECKS ZERO P-CURVATURE CONJECTURE; OKUBO SYSTEM; EQUATIONS FREE FROM ACCESSORY PARAMETERS; POCHHAMMER EQUATION; MONODROMY; APPARENT SINGULAR POINT;
D O I：
10.5802/aif.1417
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the monodromy group G of the Pochhammer differential equation P. Let P-p be the reduce equation modulo a prime p. Then we show that G is finite if and only if P-p has a full set of polynomial solutions for almost all primes p.
引用
收藏
页码：767 / 810
页数：44
相关论文
共 50 条
  • [21] Monodromy in Dicke superradiance
    Kloc, Michal
    Stransky, Pavel
    Cejnar, Pavel
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2017, 50 (31)
  • [22] Monodromy of Hypersurface Singularities
    Mathias Schulze
    Acta Applicandae Mathematica, 2003, 75 : 3 - 13
  • [23] Geodesics on the ellipsoid and monodromy
    Davison, Chris M.
    Dullin, Holger R.
    Bolsinov, Alexey V.
    JOURNAL OF GEOMETRY AND PHYSICS, 2007, 57 (12) : 2437 - 2454
  • [24] Thom condition and monodromy
    R. Giménez Conejero
    Dũng Tráng Lê
    J. J. Nuño-Ballesteros
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023, 117
  • [25] Monodromy of projections of hypersurfaces
    Cifani, Maria Gioia
    Cuzzucoli, Alice
    Moschetti, Riccardo
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2022, 201 (02) : 637 - 654
  • [26] Monodromy of hypersurface singularities
    Schulze, M
    ACTA APPLICANDAE MATHEMATICAE, 2003, 75 (1-3) : 3 - 13
  • [27] Monodromy of projections of hypersurfaces
    Maria Gioia Cifani
    Alice Cuzzucoli
    Riccardo Moschetti
    Annali di Matematica Pura ed Applicata (1923 -), 2022, 201 : 637 - 654
  • [28] Quantum monodromy and molecular spectroscopy
    Child, M. S.
    CONTEMPORARY PHYSICS, 2014, 55 (03) : 212 - 221
  • [29] TAME QUASICONFORMAL MOTIONS AND MONODROMY
    Jiang, Yunping
    Mitra, Sudeb
    Wang, Zhe
    PACIFIC JOURNAL OF MATHEMATICS, 2024, 329 (01)
  • [30] Genuinely ramified maps and monodromy
    Biswas, Indranil
    Kumar, Manish
    Parameswaran, A. J.
    JOURNAL OF ALGEBRA, 2024, 644 : 222 - 231
12345