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Pınar Kılıçer (Universiteit Leiden / Université Bordeaux 1)

07.01.2015 - W01 0-012 (Wechloy), 16 Uhr c.t.

The CM class number one problem for genus-2 curves

Abstract: The Gauss class number one problem for imaginary quadratic fields is equivalent to finding all elliptic curves over the rationals with complex multiplication. I will explain the relation between the class number one problem and CM elliptic curves over the rationals. Then I will give the analogue of the class number one problem for genus-2-CM curves and sketch its solution.


Christoagf Hellweg (chrisnhtofyi.hellweg@vsxeruol.dctyvefzt8l) (Stand: 07.11.2019)