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A differential equation satisfied by the arithmetic Kodaira–Spencer class
- Source :
-
Journal of Number Theory . Aug2006, Vol. 119 Issue 2, p297-306. 10p. - Publication Year :
- 2006
-
Abstract
- 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 119
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 21683477
- Full Text :
- https://doi.org/10.1016/j.jnt.2005.11.002