Universität Passau
Kaehler Differential Algebras for 0-Dimensional Schemes and Applications
Abstract
dc:description.abstractThe aim of this dissertation is to investigate Kaehler differential algebras and their Hilbert functions for 0-dimensional schemes in P^n. First we give relations between Kaehler differential 1-forms of fat point schemes and another fat point schemes. Then we determine the Hilbert polynomial and give a sharp bound for the regularity index of the module of Kaehler differential m-forms, for 0<m<n+2. Next, we examine the Kaehler differential algebras for fat point schemes whose supports lie on non-singular conics in P^2. Finally, we prove the Segre bounds for equimultiple fat point schemes in P^4, this result allows us to determine the regularity index of the module of Kaehler differential 1-forms, and a sharp bound for the regularity index of the module of Kaehler differential m-forms, for 1<m<6.
Degree
thesis:*- Level thesis:degree_level
- thesis.doctoral
- Grantor dc:publisher
- Universität Passau
- Year
- 2015
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Tran, Nguyen Khanh Linh
- Contributors dc:contributor
-
- Kreuzer, Martin
Rights
dc:rights- Statement dc:rights
-
- Standardbedingung laut Einverständniserklärung
Identifiers
dc:identifier.*- Repository record source_url
- https://opus4.kobv.de/opus4-uni-passau/frontdoor/index/index/docId/329
- OAI identifier oai:identifier
- oai:kobv.de-opus4-uni-passau:329