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Semicontinuity of the spectrum at infinity

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Ohio State University, 231 West, 18th Avenue, 43210, Columbus, OH, USA

    Andrá Némethi

  2. UMR 7640 du C.N.R.S., Centre de Mathématiques, École polytechnique, F-91128, Palaiseau cedex, France

    Claude Sabbah

Authors
  1. Andrá Némethi
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  2. Claude Sabbah
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Correspondence to Andrá Némethi or Claude Sabbah.

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Némethi, A., Sabbah, C. Semicontinuity of the spectrum at infinity. Abh.Math.Semin.Univ.Hambg. 69, 25–35 (1999). https://doi.org/10.1007/BF02940860

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  • DOI: https://doi.org/10.1007/BF02940860

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