Differential characters on curves

Alexandru Buium ()
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Alexandru Buium: University of New Mexico

A chapter in Number Theory, Analysis and Geometry, 2012, pp 111-123 from Springer

Abstract: Abstract The δ-characters of an abelian variety [B 95] are arithmetic analogues of the Manin maps [M 63]. Given a smooth projective curve X of genus at least 2 embedded into its Jacobian A, one can consider the restrictions to X of the δ-characters of A; the maps so obtained are referred to as δ-characters of X. It is easy to see that the δ-characters of X have a remarkable symmetry property at the origin. The aim of this paper is to prove that this symmetry property completely characterizes the δ-characters of X.

Keywords: curves; jacobians; local fields; fermat quotients (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-1260-1_5

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DOI: 10.1007/978-1-4614-1260-1_5

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