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Differential Modular Forms on Shimura Curves, I
Published online by Cambridge University Press: 04 December 2007
Abstract
The quotient of a Shimura curve by the isogeny equivalence relation is not an object of algebraic geometry. The paper shows how this quotient space becomes a geometric object in a more general geometry obtained from ‘usual algebraic geometry’, by adjoining a new operation; this operation looks like a ‘Fermat quotient’ and should be viewed as an arithmetic analogue of usual derivations.
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- Research Article
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- © 2003 Kluwer Academic Publishers
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