Numerical computation of Galois groups

DOI10.1007/s10208-017-9356-xzbMath1442.14186arXiv1605.07806OpenAlexW2963295467MaRDI QIDQ667643

Jonathan D. Hauenstein, Jose Israel Rodriguez, Frank J. Sottile

Publication date: 1 March 2019

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.07806

zbMATH Keywords

Galois grouphomotopy continuationmonodromypolynomial systemfiber productnumerical algebraic geometry

Mathematics Subject Classification ID

Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Geometric aspects of numerical algebraic geometry (14Q65) Numerical algebraic geometry (65H14)

Related Items

Galois/Monodromy Groups for Decomposing Minimal Problems in 3D Reconstruction ⋮ Using monodromy to recover symmetries of polynomial systems ⋮ Landau discriminants ⋮ Classification of Schubert Galois groups in \(Gr(4, 9)\) ⋮ Computing Galois groups of Fano problems ⋮ Minimal Problems for the Calibrated Trifocal Variety ⋮ A Numerical Transcendental Method in Algebraic Geometry: Computation of Picard Groups and Related Invariants ⋮ Varieties of planes on intersections of three quadrics ⋮ Real monodromy action ⋮ Using monodromy to statistically estimate the number of solutions

Uses Software

• Macaulay2
• Bertini
• Bertini.m2

Cites Work

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