Semicontinuity of the spectrum at infinity

Andras Nemethi , Claude Sabbah (1)

1 CMLS - Centre de Mathématiques Laurent Schwartz

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.

Domaines: Géométrie algébrique [math.AG]

Andras Nemethi, Claude Sabbah. Semicontinuity of the spectrum at infinity. ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 1999, 69 (1), pp.25-35. ⟨10.1007/BF02940860⟩. ⟨hal-00816188⟩