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On the Monodromy at Infinity of a Polynomial Map, II

Published online by Cambridge University Press:  04 December 2007

R. GARCÍA LÓPEZ
R. GARCÍA LÓPEZ
Affiliation:
Universidad de Barcelona, Dept. de Algebra y Geometría. Gran Via, 585, 08007 Barcelona, Spain
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Abstract

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To a polynomial map f : Cn + 1 → C one can attach a monodromy transformation on the complex cohomology of its generic fiber that reflects its asymptotic behaviour. In this paper this transformation is determined for a class of generic polynomials in terms of data attached to projective hypersurfaces with isolated singularities.

Keywords

monodromy at infinitypolynomial mapsprojective hypersurfacesdefect of linear systems.
Type
Research Article
Information
Compositio Mathematica , Volume 115 , Issue 1 , January 1999 , pp. 1 - 20
Copyright
© 1999 Kluwer Academic Publishers