Purdue University Graduate School
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Automorphism Groups And Chern Bounds of Fibrations

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posted on 2020-07-30, 23:02 authored by Christopher E CreightonChristopher E Creighton
In this thesis, I study two problems. First, I generalize a result by H-Y Chen to show that if $X$ is a smooth variety of general type and irregularity $q\geq 1$ that embeds into its Albanese variety as a smooth variety $Y$ of general type with codimension one or two, then $|Aut(X)|\leq |Aut(F_{min})||Aut(Y)|$ where $F_{min}$ is the minimal model of a general fiber. Then I describe a special type of fibration called a K-Fibration as a generalization to Kodaira Fibrations where we can compute its Chern numbers in dimensions 2 and 3. K-Fibrations act as an initial step in constructing examples of varieties that satisfy the generalization with the goal of computing their automorphism group explicitly.


Degree Type

  • Doctor of Philosophy


  • Mathematics

Campus location

  • West Lafayette

Advisor/Supervisor/Committee Chair

Donu Arapura

Additional Committee Member 2

Kenji Matsuki

Additional Committee Member 3

Jaroslaw Wlodarczyk

Additional Committee Member 4

Sai Kee Yeung