Spectrum of Hyperplane Arrangements in Four Variables

Doctoral Dissertation

Abstract

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.

Attributes

Attribute NameValues
URN
  • etd-04192013-124324

Author Youngho Yoon
Advisor Nero Budur
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
Degree Discipline Mathematics
Degree Name PhD
Defense Date
  • 2013-04-09

Submission Date 2013-04-19
Country
  • United States of America

Subject
  • hodge spectrum

  • hyperplane arrangement

  • singularity

Publisher
  • University of Notre Dame

Language
  • English

Record Visibility Public
Content License
  • All rights reserved

Departments and Units

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