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- W3100502224 abstract "By constructing suitable Borcherds forms on Shimura curves and using Schofer's formula for norms of values of Borcherds forms at CM-points, we determine all the equations of hyperelliptic Shimura curves $X_0^D(N)$. As a byproduct, we also address the problem of whether a modular form on Shimura curves $X_0^D(N)/W_{D,N}$ with a divisor supported on CM-divisors can be realized as a Borcherds form, where $X_0^D(N)/W_{D,N}$ denotes the quotient of $X_0^D(N)$ by all the Atkin-Lehner involutions. The construction of Borcherds forms is done by solving certain integer programming problems." @default.
- W3100502224 created "2020-11-23" @default.
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- W3100502224 date "2017-01-01" @default.
- W3100502224 modified "2023-09-23" @default.
- W3100502224 title "Equations of hyperelliptic Shimura curves" @default.
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- W3100502224 doi "https://doi.org/10.1112/s0010437x16007739" @default.
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