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Title:Fibered Calabi -Yau Varieties and Toric Varieties
Author(s):Mullet, Joshua P.
Doctoral Committee Chair(s):Katz, Sheldon
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:We consider the problem of constructing K3-fibered and elliptically fibered Calabi-Yau threefolds over P1 and P2 respectively. We first show how to write weighted projective space bundles as toric varieties. We then find necessary and sufficient conditions for the anti-canonical linear systems of these bundles to have quasi-smooth members. These quasi-smooth members are Calabi-Yau varieties over the base whose general fiber is also a Calabi-Yau variety. A computer calculation finds all 3,723 families of weighted K3-fibered toric Calabi-Yau threefold hypersurfaces over P2 and all 92 of families elliptically fibered toric Calabi-Yau threefold hypersurfaces over P1 .
Issue Date:2006
Type:Text
Language:English
Description:159 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.
URI:http://hdl.handle.net/2142/86861
Other Identifier(s):(MiAaPQ)AAI3223674
Date Available in IDEALS:2015-09-28
Date Deposited:2006


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