Image multiple point spaces and rectified homotopical depth
Author:
Kevin Houston
Journal:
Proc. Amer. Math. Soc. 126 (1998), 323331
MSC (1991):
Primary 14B15, 32S05; Secondary 32S60
MathSciNet review:
1459124
Fulltext PDF Free Access
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Abstract: We investigate the local topology of multiple point spaces in the image of a finite complex analytic map. In particular, we find examples of maps for which the constant sheaf on an image multiple point space of the map is perverse. These results are proved by the use of a spectral sequence which calculates the homology of the image of a continuous map.
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 Lê D\~{u}ng Tráng, Complex analytic functions with isolated singularities, J. Algebraic Geometry, 1 (1992), 83100. MR 92j:32132
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Additional Information
Kevin Houston
Affiliation:
School of Mathematics and Statistics\ Middlesex University\ Bounds Green Road\ London\ N11 2NQ, United Kingdom
Email:
k.houston@mdx.ac.uk
DOI:
http://dx.doi.org/10.1090/S0002993998044463
PII:
S 00029939(98)044463
Keywords:
Image computing spectral sequence,
image multiple point space,
perverse sheaf,
singularity
Received by editor(s):
June 26, 1996
Communicated by:
Ron Donagi
Article copyright:
© Copyright 1998
American Mathematical Society
