Publication Date
9-5-2013
Abstract
We show that for certain curves over p-adic rings its first p-jet space admits the structure of a torsor under a line bundle.
Degree Name
Mathematics
Level of Degree
Doctoral
Department Name
Mathematics & Statistics
First Committee Member (Chair)
Alexandru Buium
Second Committee Member
James Borger
Third Committee Member
Michael Nakamaye
Fourth Committee Member
Janet Vassilev
Language
English
Keywords
Arithmetic Deformation Theory, Witt Vectors, p-jets, Arithmetic Geometry
Document Type
Dissertation
Recommended Citation
Dupuy, Taylor. "Arithmetic Deformation Classes Associated to Curves via p-Jet Spaces." (2013). https://digitalrepository.unm.edu/math_etds/13