Non-formality of Milnor fibers of line arrangements

Details Non-formality of Milnor fibers of line arrangements Non-formality of Milnor fibers of line arrangements

2009-06-19

arxiv.org/abs/0906.3658v1

Mathematics

Algebraic Geometry

7 pages

Scientific paper

The complement of a hyperplane arrangement in the complex projective space is
known to be formal. We prove the global Milnor fiber associated to the
homogeneous polynomial defining the arrangement may not even be 1-formal, by
giving an example in dimension 2.

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