First-Order Theory of Function Fields of P-adic Curves
Tran, Zana
2023

Files

Abstract

Let K be a function field over a local field k. We show that the valuation rings of K/k are definable. Furthermore, if char k = 0 and td(K/k) = 1, then any function field L over a local field λ elementarily equivalent to K must be isomorphic to K (as function fields).

Details

Title First-Order Theory of Function Fields of P-adic Curves
Author Tran, Zana : University of Chicago
Degree Type Ph.D.
Content Type Dissertation
Academic Advisor
Subjects
Digital Object Identifier https://doi.org/10.6082/uchicago.7650
Publication Date 2023-08
Language en
Licensing
University of Chicago dissertations are covered by copyright.
Record Appears in Physical Sciences Division > Mathematics
All
Record Created 2023-08-23

Actions

PDF

from
to
Export
Download Full History