A differential equation satisfied by the arithmetic Kodaira-Spencer class |
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Authors: | Alexandru Buium |
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Institution: | University of New Mexico, Albuquerque, NM 87131, USA |
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Abstract: | The arithmetic Kodaira-Spencer class of the universal elliptic curve was introduced in A. Buium, Differential modular forms, J. Reine Angew. Math. 520 (2000) 95-167]; its reduction mod p was explicitly computed by Hurlburt C. Hurlburt, Isogeny covariant differential modular forms modulo p, Compos. Math. 128 (1) (2001) 17-34]. In this paper the complicated expression of Hurlburt is shown to be the unique solution of a simple partial differential equation subject to a certain initial condition and weight condition. |
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Keywords: | 12H 11F33 |
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