Logarithmic bundles of deformed Weyl arrangements of type A2

Takuro Abe, Daniele Faenzi, Jean Vallès

研究成果: Contribution to journalArticle査読

抄録

We consider deformations of the Weyl arrangement of type A2, which include the extended Shi and Catalan arrangements. These last ones are well-known to be free. We study their sheaves of logarithmic vector fields in all other cases, and show that they are Steiner bundles. Also, we determine explicitly their unstable lines. As a corollary, some counter-examples to the shift isomorphism problem are given.

本文言語英語
ページ(範囲)745-761
ページ数17
ジャーナルBulletin de la Societe Mathematique de France
144
4
DOI
出版ステータス出版済み - 2016

All Science Journal Classification (ASJC) codes

  • 数学 (全般)

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