Search Results - "Mikhalkin, E. N."

ON SUMS OF NEWTON POLYTOPES FOR DISCRIMINANTS OF POLYNOMIALS by Kobycheva, V.S., Mikhalkin, E. N., Stepanenko, V. A.

“…We consider discriminant Δ n of a general polynomial of degree n and Newton polytope   N for the discriminant, and prove that Newton polytopes with truncations…”
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Algorithm for Computing the Truncation of the Discriminant of a Polynomial by Lyapin, A. P., Mikhalkin, E. N.

“…A program that computes the truncation of the discriminant for a polynomial of one variable onto facets of the Newton polytope for the discriminant of this…”
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Geometry of Factorization Identities for Discriminants by Mikhalkin, E. N., Stepanenko, V. A., Tsikh, A. K.

“…Let Δ n be the discriminant of a general polynomial of degree n and be the Newton polytope of Δ n . We give a geometric proof of the fact that the truncations…”
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On solving general algebraic equations by integrals of elementary functions by Mikhalkin, E. N.

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The monodromy of a general algebraic function by Mikhalkin, E. N.

“…We consider a general reduced algebraic equation of degree n with complex coefficients. The solution to this equation, a multifunction, is called a general…”
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Analytic continuations of a general algebraic function by means of Puiseux series by Antipova, I. A., Mikhalkin, E. N.

“…A complete list of power series (centered at the point x = 0) is obtained for the solution y ( x ) of the general reduced algebraic equation . The domains of…”
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Solution of fifth-degree equations by Mikhalkin, E. N.

“…In this paper we establish a relationship between two approaches to the solution of algebraic fifth-degree equations, namely, the Hermite-Kronecker method…”
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