Hyperplane Arrangements
Characteristic polynomials, free arrangements, and Orlik–Solomon algebras.
Hyperplane Arrangements. Characteristic polynomials, free arrangements, and Orlik–Solomon algebras.
Foundations and canonical references
The standard treatments of hyperplane arrangements approach the subject from complementary angles. Orlik, Arrangements of Hyperplanes (1992) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for hyperplane arrangements include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1992Arrangements of Hyperplanesorlik-1992, terao-1992
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