Title of article :
A general calculation of the number of vanishing cycles
Author/Authors :
Massey، نويسنده , , David B.، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 1995
Pages :
23
From page :
21
To page :
43
Abstract :
We give an algebraic formula for calculating the change in the Euler characteristic of the Milnor fibre of a function f, as one “grows” from a hypersurface section out to the full Milnor fibre of f. This is a general calculation in that we allow the domain of f to be singular, the hypersurface section may have an isolated singularity, and we allow coefficients in an arbitrary bounded, constructible complex of sheaves. Our formula generalizes both a result of Lê for affine hypersurfaces and a result of Looijenga for isolated complete intersections.
Keywords :
Vanishing cycles , Milnor fibre , Polar curve , Perverse sheaf
Journal title :
Topology and its Applications
Serial Year :
1995
Journal title :
Topology and its Applications
Record number :
1578571
Link To Document :
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