Numerical computation of Galois groups
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Publication:667643
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
Galois grouphomotopy continuationmonodromypolynomial systemfiber productnumerical algebraic geometry
Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Geometric aspects of numerical algebraic geometry (14Q65) Numerical algebraic geometry (65H14)
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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
Cites Work
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