MONODROMY GROUPS OF BOUNDARY SINGULARITIES

被引：1

作者：

ILYUTA, GG

机构：

来源：

RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS | 1993年 / 76卷 / 01期

关键词：

D O I：

10.1070/SM1993v076n01ABEH003399

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The antisymmetric monodromy groups of isolated critical points of analytic functions on a manifold with a smooth boundary are described. For a given automorphism of the homology lattice of the Milnor fiber the results make it possible to determine whether it belongs to the monodromy group. Bibliography: 8 titles.

引用

页码：23 / 34

页数：12

共 50 条

[1] ON THE MONODROMY GROUPS OF SINGULARITIES
EBELING, W
[J]. PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1983, 40 : 327 - 336
[2] DEFORMATIONS OF POLYNOMIALS, BOUNDARY SINGULARITIES AND MONODROMY
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Tibar, Mihai
[J]. MOSCOW MATHEMATICAL JOURNAL, 2003, 3 (02) : 661 - 679
[3] MONODROMY AND VANISHING CYCLES OF BOUNDARY SINGULARITIES
ILYUTA, GG
[J]. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1985, 19 (03) : 173 - 182
[4] μ-CONSTANT MONODROMY GROUPS AND MARKED SINGULARITIES
Hertling, Claus
[J]. ANNALES DE L INSTITUT FOURIER, 2011, 61 (07) : 2643 - 2680
[5] On q-monodromy groups of singularities
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[J]. IZVESTIYA MATHEMATICS, 1996, 60 (01) : 119 - 136
[6] GEOMETRIC MONODROMY GROUPS OF SIMPLE SINGULARITIES
PERRON, B
VANNIER, JP
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1992, 315 (10): : 1067 - 1070
[7] MONODROMY GROUPS OF SINGULARITIES OF FUNCTIONS OF 2 VARIABLES
CHMUTOV, SV
[J]. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1981, 15 (01) : 48 - 52
[8] AN ARITHMETIC CHARACTERIZATION OF THE SYMMETRIC MONODROMY GROUPS OF SINGULARITIES
EBELING, W
[J]. INVENTIONES MATHEMATICAE, 1984, 77 (01) : 85 - 99
[9] Poincaré series and monodromy of the simple and unimodal boundary singularities
Wolfgang Ebeling
[J]. Proceedings of the Steklov Institute of Mathematics, 2009, 267 : 50 - 58
[10] THE MONODROMY GROUPS OF ISOLATED SINGULARITIES OF COMPLETE-INTERSECTIONS
EBELING, W
[J]. LECTURE NOTES IN MATHEMATICS, 1987, 1293 : 1 - 149

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