The non-compact elliptic genus: mock or modular
نویسندگان
چکیده
منابع مشابه
Genus Formula for Modular Curves of D-elliptic Sheaves
We prove a genus formula for modular curves of D-elliptic sheaves. We use this formula to show that the reductions of modular curves of D-elliptic sheaves attain the Drinfeld-Vladut bound as the degree of the discriminant of D tends to infinity.
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Article history: Received 30 August 2016 Received in revised form 2 February 2017 Accepted 20 February 2017 Available online 24 February 2017 Communicated by D. Goss
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We present explicit models for non-elliptic genus one Shimura curves X0(D, N) with Γ0(N)-level structure arising from an indefinite quaternion algebra of reduced discriminant D, and Atkin-Lehner quotients of them. In addition, we discuss and extend Jordan’s work [10, Ch. III] on points with complex multiplication on Shimura curves.
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2010
ISSN: 1029-8479
DOI: 10.1007/jhep06(2010)104