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. / Thesis (Ph.D, Mathematics & Statistics) -- Queen's University, 2013-09-21 09:43:47.789
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:OKQ.1974/8307 |
| Date | 24 September 2013 |
| Creators | Ejouamai, Rachid |
| Contributors | Queen's University (Kingston, Ont.). Theses (Queen's University (Kingston, Ont.)) |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English, English |
| Detected Language | English |
| Type | Thesis |
| Rights | This publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner. |
| Relation | Canadian theses |
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