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dc.contributor.authorGuo, Jia-Weien_US
dc.contributor.authorYang, Yifanen_US
dc.date.accessioned2017-04-21T06:56:20Z-
dc.date.available2017-04-21T06:56:20Z-
dc.date.issued2017-01en_US
dc.identifier.issn0010-437Xen_US
dc.identifier.urihttp://dx.doi.org/10.1112/S0010437X16007739en_US
dc.identifier.urihttp://hdl.handle.net/11536/133216-
dc.description.abstractBy 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 of 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,W-N with a divisor supported on CM divisors can be realized as a Borcherds form, where X-0(D) (N)/W-D,W-N denotes the quotient of X-0(D) (N) by all of the Atkin-Lehner involutions. The construction of Borcherds forms is done by solving certain integer programming problems.en_US
dc.language.isoen_USen_US
dc.subjectBorcherds formsen_US
dc.subjectShimura curvesen_US
dc.titleEquations of hyperelliptic Shimura curvesen_US
dc.identifier.doi10.1112/S0010437X16007739en_US
dc.identifier.journalCOMPOSITIO MATHEMATICAen_US
dc.citation.volume153en_US
dc.citation.issue1en_US
dc.citation.spage1en_US
dc.citation.epage40en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000394432100001en_US
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