Publication Date
2024
Document Type
Dissertation/Thesis
First Advisor
Thunder, Jeffrey L.
Degree Name
Ph.D. (Doctor of Philosophy)
Legacy Department
Department of Mathematical Sciences
Abstract
A height function measures the complexity of mathematical objects, usually points on some projective variety. There are previous results that estimate the number of subspaces of bounded height defined over number fields and function fields over a finite field. These results are asymptotic estimates as the height bound tends to infinity. In this dissertation we derive an explicit counting of the number of subspaces of given height defined over a field of rational functions.
Recommended Citation
Bhuyan, Kakoli, "Explicitly Counting Subspaces of Given Height Defined Over A Field of Rational Functions" (2024). Graduate Research Theses & Dissertations. 8011.
https://huskiecommons.lib.niu.edu/allgraduate-thesesdissertations/8011
Extent
52 pages
Language
en
Publisher
Northern Illinois University
Rights Statement
In Copyright
Rights Statement 2
NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.
Media Type
Text
