On the Milnor monodromy of the irreducible complex reflection arrangements

Abstract

Using recent results by A. Macinic, S. Papadima and R. Popescu, and a refinement of an older construction of ours, we determine the monodromy action on $H^1(F(G),C)$, where $F(G)$ denotes the Milnor fiber of a hyperplane arrangement associated to an irreducible complex reflection group $G$.

arXiv commentv2. We add the statement for the reflection arrangement associated to the exceptional group $G_{31}$ and send to our preprint arXiv: 1606.06615 for a proof along completely different lines

References in corpus (4)

• Fundamental groups of line arrangements: Enumerative aspects
• The Milnor fibration of a hyperplane arrangement: from modular resonance to algebraic monodromy
• On the monodromy action on Milnor fibers of graphic arrangements
• Homology graph of real arrangements and monodromy of Milnor Fiber

Cited by in corpus (3)

• The Milnor fibration of a hyperplane arrangement: from modular resonance to algebraic monodromy
• Efficiency and complexity of hyperplane arrangements
• Lowest non-zero vanishing cohomology of holomorphic functions