On the monodromy at isolated singularities of weighted homogeneous polynomials
Author:
Benjamin G. Cooper
Journal:
Trans. Amer. Math. Soc. 269 (1982), 149166
MSC:
Primary 32C40; Secondary 14B05
MathSciNet review:
637033
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Abstract: Assume is a weighted homogeneous polynomial with isolated singularity, and define by . If the monomials of are algebraically independent, then the closure of in admits a deformation into the subset where each monomial of has nonnegative real values. For the polynomial , is a cell complex of dimension , invariant under a characteristic map of the fibration , and the inclusion induces isomorphisms in homology. To compute the homology of the link it thus suffices to calculate the action of on . Let . Let be the weights associated with , satisfying for and . Let , , . Then and .
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002994719820637033X
PII:
S 00029947(1982)0637033X
Keywords:
Isolated singularity,
weighted homogeneous polynomial,
Milnor fibre,
monodromy
Article copyright:
© Copyright 1982 American Mathematical Society
