Polarized Calabi-Yau threefolds in codimension 4
thesisposted on 21.11.2014 by Konstantinos Georgiadis
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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.
EPSRC, Loughborough University
- Mathematical Sciences