Variance of the spectral numbers and Newton polygons |
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Authors: | Thomas Bré livet |
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Affiliation: | Laboratoire de Mathématiques Pures de Bordeaux, 351, cours de la Libération, 33405 Talence, France |
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Abstract: | Using the theory of the mixed Hodge structure one can define a notion of spectrum of a singularity or of a polynomial. Recently Claus Hertling proposed a conjecture about the variance of the spectrum of a singularity. Alexandru Dimca proposed a similar conjecture on polynomials. Here, we prove these two conjectures in the case of dimension 2 and when the singularity or the polynomial is Newton non-degenerated and commode. |
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Keywords: | 14B05 52C05 11F20 |
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