Finiteness and constructibility in local analytic geometry

Details Finiteness and constructibility in local analytic geometry Finiteness and constructibility in local analytic geometry

2006-10-12

arxiv.org/abs/math/0610409v2

Mathematics

Algebraic Geometry

19 pages

Scientific paper

We use Kiehl-Verdier's and Houzel's finiteness theorems in the setting of
local analytic geometry, and the Whitney-Thom theory of stratified spaces, to
prove that fibrewise constructible complex of sheaves have coherent direct
images. We review the notions of stratification theory which are needed.

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