Skip to main content

Classification of gap functions with degree 4

Resource type
Thesis type
(Thesis) M.Sc.
Date created
2022-08-16
Authors/Contributors
Abstract
In algebraic geometry, gap functions are useful tools in the study of singularities of curves. It is thus desirable to have a classification of gap functions with arbitrary degrees. Gap functions with degrees 1 and 2 are known classically and Buczyński, Ilten, Ventura have classified gap functions with degree 3. In this thesis, building on the results of Buczyński, Ilten, Ventura, we present an algorithm that computes gap functions with arbitrary dimensions and degrees. After implementing the algorithm in Maple, we classify all 4 dimensional gap functions, which can help study all the curve singularities with delta invariant 4.
Document
Extent
130 pages.
Identifier
etd22114
Copyright statement
Copyright is held by the author(s).
Permissions
This thesis may be printed or downloaded for non-commercial research and scholarly purposes.
Supervisor or Senior Supervisor
Thesis advisor: Ilten, Nathan
Language
English
Member of collection
Download file Size
etd22114.pdf 1.28 MB

Views & downloads - as of June 2023

Views: 35
Downloads: 3