posted on 2014-11-21, 11:44authored byKonstantinos Georgiadis
This work concerns the construction
of Calabi-Yau threefolds in codimension 4. Based on a study of
Hilbert series, we give a list of
families of Calabi-Yau threefolds which may exist in codimension 3 and
codimension 4. Using birational methods, we construct Calabi-Yau threefolds that realize several of the listed families. The main result
is that the cases we consider in
codimension 4 lie in two different deformation components.
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/
Publication date
2014
Notes
A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy of Loughborough University.