Universal norms on abelian varieties over global function fields Academic Article

abstract

• We examine the Mazur-Tate canonical height pairing defined between an abelian variety over a global field and its dual. We show in the case of global function fields that certain of these pairings are annihilated by universal norms coming from Carlitz cyclotomic extensions. Furthermore, for elliptic curves we find conditions for the triviality of these universal norms. 2002 Elsevier Science (USA).

authors

• Papanikolas, Matthew

published proceedings

• JOURNAL OF NUMBER THEORY

author list (cited authors)

• Papanikolas, M. A.

citation count

• 0

complete list of authors

• Papanikolas, MA

publication date

• June 2002

publisher

• Elsevier  Publisher

published in

• Journal of Number Theory  Journal

keywords

• Canonical Heights
• Mazur Tate Sigma Function
• Theta Functions
• Universal Norms

Digital Object Identifier (DOI)

• 10.1006/jnth.2001.2744

start page

• 326

end page

• 342

volume

• 94

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1006%2Fjnth.2001.2744