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Rational points on Atkin-Lehner quotients of geometrically hyperelliptic Shimura curves

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Oana Padurariu
Boston University/MPIM
Wed, 06/09/2023 - 14:30 - 15:30
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Guo and Yang give defining equations for all geometrically hyperelliptic Shimura curves X_0(D,N). In this talk, I will describe how we created a database containing all their Atkin-Lehner quotients and how we computed their sets of Q-rational points when these sets are finite. We also determine which rational points are CM for many of these curves. This is joint work with Ciaran Schembri.

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