BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Elliptic surfaces and R-divisors DeMarco, Laura


I will discuss some unlikely-intersection problems for curves in elliptic surfaces, defined over a number field. We introduce a new tool: an equidistribution theorem for heights associated to R-divisors, extending known results for Q-divisors of Chambert-Loir, Thuillier, and Yuan (2008). As applications, we obtain a new proof of a result of Barroero and Capuano (2016) and prove a case of a conjecture of Zhang (1998). This is joint work with Myrto Mavraki.

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