Abstract
Fix a real hyperplane arrangement, and let F be the Milnor fibre of its complexified defining polynomial. We consider a filtration of the homology of F that arises from the algebraic monodromy, using integer or Z/p Z coefficients. We compare it with the cohomology of the Orlik–Solomon algebra, over Z or Z/p Z , respectively, with respect to a suitable “Koszul” boundary map, and find isomorphisms in certain cases. This continues work by various authors in comparing the cohomology of certain local systems on a hyperplane complement with that of the Orlik–Solomon algebra.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
