Degeneration of Orlik-Solomon algebras and Milnor fibers of complex line arrangements

作者：Bailet Pauline; Yoshinaga Masahiko^*

来源：Geometriae Dedicata, 2015, 175(1): 49-56.

DOI：10.1007/s10711-014-0027-7

• Hyperplane arrangements
• Milnor fibers
• Aomoto complex

We give a vanishing theorem for the monodromy eigenspaces of the Milnor fibers of complex line arrangements. By applying the modular bound of the local system cohomology groups given by Papadima-Suciu, the result is deduced from the vanishing of the cohomology of certain Aomoto complex over finite fields. In order to prove this, we introduce degeneration homomorphisms of Orlik-Solomon algebras.

• 出版日期2015-4