Freeness of hyperplane arrangements and related topics

Abstract

This is the expanded notes of the lecture by the author in "Arrangements in Pyrenees", June 2012. We are discussing relations of freeness and splitting problems of vector bundles, several techniques proving freeness of hyperplane arrangements, K. Saito's theory of primitive derivations for Coxeter arrangements, their application to combinatorial problems and related conjectures.

arXiv comment28 pages

References in corpus (3)

• Exponents of 2-multiarrangements and freeness of 3-arrangements
• A basis construction for the Shi arrangement of the type $B_{\ell }$ or $C_{\ell }$
• Free arrangements and coefficients of characteristic polynomials

Cited by in corpus (3)

• Non-recursive freeness and non-rigidity of plane arrangements
• Roots of characteristic polynomials and intersection points of line arrangements
• Free, not recursively free and non rigid arrangements