Hodge spectrum is one of the most important invariants of hypersurface singularities and a hyperplane arrangement contains the simplest higher dimensional singular set. It is known that the Hodge spectra of hyperplane arrangements are combinatorial. Calculating the Hodge spectrum is a difficult task and combinatorial formulas exist for only a few cases. In this thesis the main result is the formula for reduced hyperplane arrangements in four variables.
|Contributor||Botong Wang, Committee Member|
|Contributor||Samuel Evens , Committee Member|
|Contributor||Nero Budur , Committee Chair|
|Contributor||Juan Migliore , Committee Member|
|Contributor||Xiaobo Liu , Committee Co-Chair|
|Degree Level||Doctoral Dissertation|
|Departments and Units|