ON MILNOR FIBRATIONS OF ARRANGEMENTS

被引：63

作者：

COHEN, DC ^{[1
]}

SUCIU, AI ^{[1
]}

机构：

[1] NORTHEASTERN UNIV,DEPT MATH,BOSTON,MA 02115

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 1995年 / 51卷

关键词：

D O I：

10.1112/jlms/51.1.105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use covering space theory and homology with local coefficients to study the Milnor fiber of a homogeneous polynomial. These techniques are applied in the context of hyperplane arrangements, yielding an explicit algorithm for computing the Betti numbers of the Milnor fiber of an arbitrary real central arrangement in C-3, as well as the dimensions of the eigenspaces of the algebraic monodromy. We also obtain combinatorial formulas for these invariants of the Milnor fiber of a generic arrangement of arbitrary dimension using these methods.

引用

页码：105 / 119

页数：15

共 25 条

[11] HOMOLOGY OF A LOCAL SYSTEM ON THE COMPLEMENT OF HYPERPLANES [J].

KOHNO, T .

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1986, 62 (04) :144-147

[12]

LIBGOBER A, 1987, P SYMP PURE MATH, V46, P29

[13] ALEXANDER POLYNOMIAL OF PLANE ALGEBRAIC-CURVES AND CYCLIC MULTIPLE PLANES [J].

LIBGOBER, A .

DUKE MATHEMATICAL JOURNAL, 1982, 49 (04) :833-851

[14]

LIBGOBER A, 1986, J REINE ANGEW MATH, V347, P103

[15]

MASSEY D, 1994, CYCLES HYPERSURFACE

[16]

Milnor J, 1968, ANN MATH STUD, V61

[17]

Milnor J., 1970, TOPOLOGY, V9, P385, DOI DOI 10.1016/0040-9383(70)90061-3

[18]

Orlik, 1989, CBMS REGIONAL C SERI, V72

[19] COMBINATORICS AND TOPOLOGY OF COMPLEMENTS OF HYPERPLANES [J].

ORLIK, P ;

SOLOMON, L .

INVENTIONES MATHEMATICAE, 1980, 56 (02) :167-189

[20] THE MILNOR FIBER OF A GENERIC ARRANGEMENT [J].

ORLIK, P ;

RANDELL, R .

ARKIV FOR MATEMATIK, 1993, 31 (01) :71-81

← 1 2 3 →