Logarithmic bundles of deformed Weyl arrangements of type A2

Takuro Abe; Daniele Faenzi; Jean Vallès

doi:10.24033/bsmf.2726

Logarithmic bundles of deformed Weyl arrangements of type A₂

Takuro Abe, Daniele Faenzi, Jean Vallès

Division of Fundamental mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	745-761
Number of pages	17
Journal	Bulletin de la Societe Mathematique de France
Volume	144
Issue number	4
DOIs	https://doi.org/10.24033/bsmf.2726
Publication status	Published - 2016

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.24033/bsmf.2726

Cite this

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Logarithmic bundles of deformed Weyl arrangements of type A₂

Abstract

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