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Durham e-Theses
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A Geometric Theta Correspondence for Picard Modular Surfaces

LITTLE, ROBERT,JAMES (2019) A Geometric Theta Correspondence for Picard Modular Surfaces. Doctoral thesis, Durham University.

Microsoft Word (Full Text of Thesis for Robert James Little) - Accepted Version
Available under License Creative Commons Attribution 3.0 (CC BY).



This thesis aims to generalise the work of Kudla-Millson on intersection numbers of special cycles on Picard modular surfaces. We will use geometric and arithmetic techniques to generalise these results to the case of odd integral weight modular forms, and then use a compactification to extend the new special cycles to the boundary components.

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Keywords:Number Theory, Arithmetic Geometry, Modular Forms, Theta Series,
Faculty and Department:Faculty of Science > Mathematical Sciences, Department of
Thesis Date:2019
Copyright:Copyright of this thesis is held by the author
Deposited On:06 Jun 2019 12:35

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