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Polarized Calabi-Yau threefolds in codimension 4

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.

Identiferoai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:631610
Date January 2014
CreatorsGeorgiadis, Konstantinos
PublisherLoughborough University
Source SetsEthos UK
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
Sourcehttps://dspace.lboro.ac.uk/2134/16321

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