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Title: Tilting bundles and toric Fano varieties
Author: Prabhu-Naik, Nathan
ISNI:       0000 0004 5915 2009
Awarding Body: University of Bath
Current Institution: University of Bath
Date of Award: 2015
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This thesis constructs tilting bundles obtained from full strong exceptional collections of line bundles on all smooth toric Fano fourfolds. The tilting bundles lead to a large class of explicit Calabi-Yau-5 algebras, obtained as the corresponding rolled-up helix algebra. We provide two different methods to show that a collection of line bundles is full, whilst the strong exceptional condition is checked using the package QuiversToricVarieties for the computer algebra system Macaulay2, written by the author. A database of the full strong exceptional collections can also be found in this package.
Supervisor: Craw, Alastair Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: algebraic geometry ; derived categories ; Calabi-Yau algebras ; toric varieties ; quiver representations