The Tate Conjectures for Product and Quotient Varieties
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Authors
Ejouamai, Rachid
Date
2013-09-24
Type
thesis
Language
eng
Keyword
Quotient Varieties , Tate's Conjectures
Alternative Title
Abstract
This thesis extends Tate’s conjectures from the smooth case to quotient varieties. It
shows that two of those conjectures hold for quotient varieties if they hold for smooth
projective varieties. We also consider arbitrary product of modular curves and show
that the three conjectures of Tate (in codimension 1) hold for this product. Finally we
look at quotients of the surface V = X1(N)×X1(N) and prove that Tate’s conjectures
are satisfied for those quotients.
Description
Thesis (Ph.D, Mathematics & Statistics) -- Queen's University, 2013-09-21 09:43:47.789
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