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Multivariate Generalizations of the Abel-Ruffini Theorem

Student: Barsukov Alexey

Supervisor: Alexander Isaakovich Esterov

Faculty: Faculty of Mathematics

Educational Programme: Mathematics (Bachelor)

Final Grade: 8

Year of Graduation: 2016

This paper provides an example of a triple of Newton polytopes which do not contain any lucky points and couples of vertices such that the segment connecting them is not contained in the boundary of the convex hull of the polytope which contains these vertices; such that it satisfies the condition of multivariate generalization of Abel-Ruffini theorem.

Full text (added June 10, 2016)

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