The monodromy of a general algebraic function

DOI10.1134/S0037446615020123zbMath1331.32001MaRDI QIDQ901908

Evgeny Mikhalkin

Publication date: 6 January 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

integral representationmonodromyhypergeometric functiondiscriminantalgebraic equation

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Other hypergeometric functions and integrals in several variables (33C70) Generalized hypergeometric series, ({}_pF_q) (33C20) Power series, series of functions of several complex variables (32A05)

Related Items (1)

Rational expressions for multiple roots of algebraic equations

Cites Work

• Analytic continuations of a general algebraic function by means of Puiseux series
• Algebraicity of solutions to the Mellin system and its monodromy
• Real algebraic curves, the moment map and amoebas
• Inversion of many-dimensional Mellin transforms and solutions of algebraic equations
• Bases in the solution space of the Mellin system
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