Geodesic
Middle multiplicative convolution and hypergeometric equations
Journal of Singularities, Tome 23 (2021), pp. 194-204

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Using a relation due to Katz linking up additive and multiplicative convolutions, we make explicit the behaviour of some Hodge invariants by middle multiplicative convolution, following Dettweiler and Sabbah and our own previous work in the additive case. Moreover, the main theorem gives a new proof of a result of Fedorov computing the Hodge invariants of hypergeometric equations.
DOI : 10.5427/jsing.2021.23k
Classification : 14D07, 32G20, 32S40 
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     author = {Nicolas Martin},
     title = {Middle multiplicative convolution and hypergeometric equations},
     journal = {Journal of Singularities},
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     year = {2021},
     doi = {10.5427/jsing.2021.23k},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2021.23k/}
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Nicolas Martin. Middle multiplicative convolution and hypergeometric equations. Journal of Singularities, Tome 23 (2021), pp. 194-204. doi: 10.5427/jsing.2021.23k

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