POLYNOMIALS WITH AGL-MONODROMY

被引：0
|
作者：
Moeller, Florian [1 ]
机构：
[1] Univ Wurzburg, Inst Math, D-97074 Wurzburg, Germany
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 140卷 / 09期
关键词：
EXCEPTIONAL POLYNOMIALS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let p be a prime and r, e positive integers. In this paper we prove that the full affine group ACL(r,p(e)) of dimension r over the field with p(e) elements can be realized as the geometric monodromy group of a polynomial in characteristic p. We also determine the arithmetic monodromy group of this polynomial and the ramification structure it induces.
引用
收藏
页码：2967 / 2980
页数：14
相关论文
共 50 条
  • [1] On the monodromy of complex polynomials
    Dimca, A
    Némethi, A
    [J]. DUKE MATHEMATICAL JOURNAL, 2001, 108 (02) : 199 - 209
  • [2] MONODROMY OF DUAL INVERTIBLE POLYNOMIALS
    Ebeling, W.
    Gusein-Zade, S. M.
    [J]. MOSCOW MATHEMATICAL JOURNAL, 2011, 11 (03) : 463 - 472
  • [3] Polynomials with PSL(2) monodromy
    Guralnick, Robert M.
    Zieve, Michael E.
    [J]. ANNALS OF MATHEMATICS, 2010, 172 (02) : 1315 - 1359
  • [4] Monodromy at infinity for polynomials in two variables
    Dimca, A
    [J]. JOURNAL OF ALGEBRAIC GEOMETRY, 1998, 7 (04) : 771 - 779
  • [5] Vanishing cycles and monodromy of complex polynomials
    Neumann, WD
    Norbury, P
    [J]. DUKE MATHEMATICAL JOURNAL, 2000, 101 (03) : 487 - 497
  • [6] Monodromy conjecture for log generic polynomials
    Nero Budur
    Robin van der Veer
    [J]. Mathematische Zeitschrift, 2022, 301 : 713 - 737
  • [7] Some notes on monodromy groups of polynomials
    Turnwald, G
    [J]. NUMBER THEORY IN PROGRESS, VOLS 1 AND 2: VOL 1: DIOPHANTINE PROBLEMS AND POLYNOMIALS; VOL 2: ELEMENTARY AND ANALYTIC NUMBER THEORY;, 1999, : 539 - 552
  • [8] DEFORMATIONS OF POLYNOMIALS, BOUNDARY SINGULARITIES AND MONODROMY
    Siersma, Dirk
    Tibar, Mihai
    [J]. MOSCOW MATHEMATICAL JOURNAL, 2003, 3 (02) : 661 - 679
  • [9] BIFURCATION VALUES AND MONODROMY OF MIXED POLYNOMIALS
    Chen, Ying
    Tibar, Mihai
    [J]. MATHEMATICAL RESEARCH LETTERS, 2012, 19 (01) : 59 - 79
  • [10] POLAR CREMONA TRANSFORMATIONS AND MONODROMY OF POLYNOMIALS
    Ahmed, Imran
    [J]. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2010, 47 (01) : 81 - 89
12345