Geodesic
Geometry of factorization identities for discriminants
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 493 (2020), pp. 21-25 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $\Delta_n$ be the discriminant of a general polynomial of degree $n$ and $\mathcal{N}$ be the Newton polytope of $\Delta_n$. We give a geometric proof of the fact that the truncations of $\Delta_n$ to faces of $\mathcal{N}$ are equal to products of discriminants of lesser $n$ degrees. The proof is based on the blow-up property of the logarithmic Gauss map for the zero set of $\Delta_n$.
Mots-clés : discriminant, logarithmic Gauss map
Keywords: Newton polytope, Horn–Kapranov parametrization. 
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E. N. Mikhalkin; V. A. Stepanenko; A. K. Tsikh. Geometry of factorization identities for discriminants. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 493 (2020), pp. 21-25. http://geodesic.mathdoc.fr/item/DANMA_2020_493_a4/

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