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Title: A New Northcott Property for Faltings Height
Authors: Mocz, Lucia
Advisors: Zhang, Shouwu
Contributors: Mathematics Department
Keywords: Arakelov Theory
Arithmetic Geometry
Faltings Height
Number Theory
Subjects: Mathematics
Issue Date: 2018
Publisher: Princeton, NJ : Princeton University
Abstract: In this work we prove a new Northcott property for the Faltings height. Namely we show, assuming the Colmez Conjecture and the Artin Conjecture, that there are finitely many CM abelian varieties over the complex numbers of a fixed dimension which have bounded Faltings height. The technique developed uses new tools from integral p-adic Hodge theory to study the variation of Faltings height within an isogeny class of CM abelian varieties. In special cases, we are moreover able to use the technique to develop new Colmez-type formulas for the Faltings height.
Alternate format: The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog:
Type of Material: Academic dissertations (Ph.D.)
Language: en
Appears in Collections:Mathematics

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