Geodesic
A geometric description of the monodromy of Brieskorn-Pham polynomials
Journal of Singularities, Tome 22 (2020), pp. 180-189

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We give an explicit construction of Lê's vanishing polyhedra for a Brieskorn-Pham polynomial f. Then we use it to give a geometric description of the monodromy associated to f. It allows us to write the matrix that determines the induced algebraic monodromy. In particular, this provides another proof for the Brieskorn-Pham theorem, which says that the characteristic polynomial associated to the monodromy of f is given by Δ(t) = Π(t- ω_1ω_2...ω_n), where each ω_j ranges over all a_j-th roots of unity other than 1. 
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     author = {Aur\'elio Menegon},
     title = {A geometric description of the monodromy of {Brieskorn-Pham} polynomials},
     journal = {Journal of Singularities},
     pages = {180--189},
     publisher = {mathdoc},
     volume = {22},
     year = {2020},
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     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.22k/}
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Aurélio Menegon. A geometric description of the monodromy of Brieskorn-Pham polynomials. Journal of Singularities, Tome 22 (2020), pp. 180-189. doi: 10.5427/jsing.2020.22k

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