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In this talk,we will describe a systematic method to the calculation of Shimura curves.We will realize modular forms on Shimura curves as Borcherds forms.By
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In this talk,we will describe a systematic method to the calculation of Shimura curves.We will realize modular forms on Shimura curves as Borcherds forms.By constructing suitable Borcherds forms on Shimura curves and using Schofers formula for norms of values of Borcherds forms at CM-points,we determine all the equations of hyperelliptic Shimura curves XD 0(N).The construction of Borcherds forms is done by solving certain integer programming problems.This is joint work with Yifan Yang.
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