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The Galois/monodromy group of a family of geometric problems or equations is a subtle invariant that encodes the structure of the solutions.
Über die erzeugung gegebener ebener kurven mit hilfe des gelenkviereckes
H. Alt · 1923
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A theorem on the Poincaré group of an algebraic hypersurface
O. Zariski · 1937
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Intersection matrices for finite permutation groups
D.G. Higman · 1967
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Principles of algebraic geometry
P. Griffiths and J. Harris · 1978
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Galois groups of enumerative problems
J. Harris · 1979
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Representations in characteristic p p
L.L. Scott · 1980
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Singularities and topology of hypersurfaces
A. Dimca · 1992
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Numerical algebraic geometry
A.J. Sommese and C.W. Wampler · 1996
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Permutation groups
P.J. Cameron · 1999
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Solving the likelihood equations
S. Hoşten, A. Khetan, and B. Sturmfels · 2005
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Introduction to numerical algebraic geometry
A.J. Sommese, J. Verschelde, and C.W. Wampler · 2005
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The numerical solution of systems of polynomials
A.J. Sommese and C.W. Wampler · 2005
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Experimentation and conjectures in the real Schubert calculus for flag manifolds
J. Ruffo, Y. Sivan, E. Soprunova, and F. Sottile · 2006
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Schubert induction
R. Vakil · 2006
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Exceptional sets and fiber products
A.J. Sommese and C.W. Wampler · 2008
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Galois groups of Schubert problems via homotopy computation
A. Leykin and F. Sottile · 2009
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Witness sets of projections
J.D. Hauenstein and A.J. Sommese · 2010
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Experimentation in the Schubert calculus
Maximum likelihood duality for determinantal varieties
J. Draisma and J. I. Rodriguez · 2014
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Maximum likelihood for matrices with rank constraints
J.D. Hauenstein, J.I. Rodriguez, and B. Sturmfels · 2014
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Likelihood geometry
J. Huh and B. Sturmfels · 2014
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Galois groups of Schubert problems of lines are at least alternating
C. Brooks, A. Martín del Campo, and F. Sottile · 2015
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Data-discriminants of likelihood equations
J.I. Rodriguez and X. Tang · 2015
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Double transitivity of Galois groups in Schubert calculus of Grassmannians
F. Sottile and J. White · 2015
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A. Martín del Campo and F. Sottile · 2012
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