Operateurs differentiels globaux sur les courbes elliptiques

Details Operateurs differentiels globaux sur les courbes elliptiques Operateurs differentiels globaux sur les courbes elliptiques

2005-02-21

arxiv.org/abs/math/0502412v1

Mathematics

Algebraic Geometry

9 pages, informal notes

Scientific paper

Let X a proper smooth curve over the field of complex numbers. Localization of the Heisenberg algebra gives the algebra of global sections of the ring of differential operators on the Jacobian J of X. It seems natural to ask for same kind of relations over a characteristic p > 0 field replacing the Heisenberg algebra by its entire form. We propose a conjecture about the constuction of an arrow between the two objects when X is an elliptic curve.

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