Geodesic
Bernoulli moments of spectral numbers and Hodge numbers
Journal of Singularities, Tome 20 (2020), pp. 205-231

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The distribution of the spectral numbers of an isolated hypersurface singularity is studied in terms of the Bernoulli moments. These are certain rational linear combinations of the higher moments of the spectral numbers. They are related to the generalized Bernoulli polynomials. We conjecture that their signs are alternating and prove this in many cases. One motivation fo the Bernoulli moments comes from the analogy with compact complex manifolds.
DOI : 10.5427/jsing.2020.20i
Classification : 32S25, 62E99, 32S35 
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     author = {Thomas Br\'elivet and Claus Hertling},
     title = {Bernoulli moments of spectral numbers and {Hodge} numbers},
     journal = {Journal of Singularities},
     pages = {205--231},
     publisher = {mathdoc},
     volume = {20},
     year = {2020},
     doi = {10.5427/jsing.2020.20i},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.20i/}
}
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Thomas Brélivet; Claus Hertling. Bernoulli moments of spectral numbers and Hodge numbers. Journal of Singularities, Tome 20 (2020), pp. 205-231. doi: 10.5427/jsing.2020.20i

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