Motivic cohomology of quaternionic Shimura varieties and level raising

29 Jan 2019 Zhou Rong

We study the motivic cohomology of the special fiber of quaternionic Shimura varieties at a prime of good reduction. We exhibit classes in these motivic cohomology groups and use this to give an explicit geometric realization of level raising between Hilbert modular forms... (read more)

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  • NUMBER THEORY