Non-formality of Milnor fibres of line arrangements

作者:Zuber Hugues*
来源:Bulletin of the London Mathematical Society, 2010, 42: 905-911.
DOI:10.1112/blms/bdq046

摘要

The complement M of a complex line arrangement A in P(2) (C) is formal, and admits a finite cover F. M, where F is the associated global Milnor fibre. An example where F is not formal (not even 1-formal), is given in this article, using the relationship between characteristic varieties of rank one local systems and resonance varieties.

  • 出版日期2010-10