Freeness of hyperplane arrangements and related topics

Masahiko Yoshinaga

doi:10.5802/afst.1413

Masahiko Yoshinaga

Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 23 (2014) no. 2, pp. 483-512.

Abstract
Abstract

These are the expanded notes of the lecture by the author in “Arrangements in Pyrénées”, 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.

Cet article est un développement des notes de l’exposé donnée par l’auteur à la conférence « Arrangements en Pyrénées », en juin 2012. Nous discutons les relations entre les problèmes de liberté et ceux de décomposabilité pour les fibrés vectoriels, plusieurs techniques qui prouvent la liberté pour des arrangements d’hyperplans, la théorie de K. Saito des dérivations primitives pour les arrangements de Coxeter, leur application à des problèmes combinatoires et quelques conjectures liées.

MR Zbl

DOI: 10.5802/afst.1413

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     title = {Freeness of hyperplane arrangements and related topics},
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     pages = {483--512},
     publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
     address = {Toulouse},
     volume = {Ser. 6, 23},
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     doi = {10.5802/afst.1413},
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     zbl = {1295.14049},
     language = {en},
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Masahiko Yoshinaga. Freeness of hyperplane arrangements and related topics. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 23 (2014) no. 2, pp. 483-512. doi : 10.5802/afst.1413. https://afst.centre-mersenne.org/articles/10.5802/afst.1413/

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