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Concept
Hyperplane Arrangements
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Summary
A
Hyperplane Arrangement
is a
Finite collection of hyperplanes
in a
Vector Space
, which provides a framework for studying various algebraic, geometric, and
Combinatorial Properties
. These arrangements are crucial in understanding the
Topology of the complement space
, the
Structure of associated algebraic objects
, and their applications in areas like optimization and machine learning.
Concepts
Hyperplane
Vector Space
Topology
Combinatorics
Algebraic Geometry
Matroid Theory
Optimization
Machine Learning
Intersection Lattice
Characteristic Polynomial
Zonotopes
Orlik-Solomon Algebra
Coxeter Groups
Artin Groups
Relevant Degrees
Algebra 67%
Geometry 33%
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