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Characteristic Polynomial Of Arrangements And Multiarrangements, Mehdi Garrousian
Characteristic Polynomial Of Arrangements And Multiarrangements, Mehdi Garrousian
Electronic Thesis and Dissertation Repository
This thesis is on algebraic and algebraic geometry aspects of complex hyperplane arrangements and multiarrangements. We start by examining the basic properties of the logarithmic modules of all orders such as their freeness, the cdga structure, the local properties and close the first chapter with a multiarrangement version of a theorem due to M. Mustata and H. Schenck.
In the next chapter, we obtain long exact sequences of the logarithmic modules of an arrangement and its deletion-restriction under the tame conditions. We observe how the tame conditions transfer between an arrangement and its deletion-restriction.
In chapter 3, we use some …