We prove that, for an analytic family of ''weakly tame'' regular functions on an affine manifold, the spectrum at infinity of each function of the family is semicontinuous in the sense of Varchenko.
@article{hal-00816188,
author = {Nemethi, Andras and Sabbah, Claude},
title = {Semicontinuity of the spectrum at infinity},
journal = {HAL},
volume = {1999},
number = {0},
year = {1999},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00816188}
}
Nemethi, Andras; Sabbah, Claude. Semicontinuity of the spectrum at infinity. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00816188/