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On singular sets of flat holomorphic mappings with isolated singularities

Published online by Cambridge University Press:  22 January 2016

Hideo Omoto
Hideo Omoto*
Affiliation:
Nagoya University
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In [4] B. Iversen studied critical points of algebraic mappings, using algebraic-geometry methods. In particular when algebraic maps have only isolated singularities, he shows the following relation; Let V and S be compact connected non-singular algebraic varieties of dimcV = n, and dimc S = 1, respectively. Suppose f is an algebraic map of V onto S with isolated singularities. Then it follows that

where χ denotes the Euler number, μf(p) is the Milnor number of f at the singular point p, and F is the general fiber of f : V → S.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 70 , July 1978 , pp. 47 - 80
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1978

References

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