Singularities in Birational Geometry
thesis
posted on 2016-11-05, 00:00 authored by Chih-Chi ChouIn this thesis we study singularities in birational geometry.
In the first part, we investigate log canonical singularities and its relation with rational singularities.
In the second part, we prove a vanishing theorem of log canonical pairs. In the last part, we consider
singularities of normal varieties.
History
Advisor
Ein, LawrenceDepartment
Mathematics, Statistics, and Computer ScienceDegree Grantor
University of Illinois at ChicagoDegree Level
- Doctoral
Committee Member
Coskun, Izzet Popa, Mihnea Tucker, Kevin Niu, WenboSubmitted date
2014-08Language
- en
Issue date
2014-10-28Usage metrics
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