Lê Modules and Traces

Details Lê Modules and Traces Lê Modules and Traces

2004-10-11

arxiv.org/abs/math/0410258v2

Mathematics

Algebraic Geometry

12 pages, to appear in Proc. AMS

Scientific paper

We show how some of our recent results clarify the relationship between the L\^e numbers and the cohomology of the Milnor fiber of a non-isolated hypersurface singularity. The L\^e numbers are actually the ranks of the free Abelian groups -- the L\^e modules -- appearing in a complex whose cohomology is that of the Milnor fiber. Moreover, the Milnor monodromy acts on the L\^e module complex, and we describe the traces of these monodromy actions in terms of the topology of the critical locus.

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