A Weil-Barsotti formula for Drinfeld modules Academic Article

abstract

• We study the group of extensions in the category of Drinfeld modules and Anderson's t-modules, and we show in certain cases that this group can itself be given the structure of a t-module. Our main result is a Drinfeld module analogue of the Weil-Barsotti formula for abelian varieties. Extensions of general t-modules are also considered, in particular extensions of tensor powers of the Carlitz module. We motivate these results from various directions and compare to the situation of elliptic curves. 2002 Elsevier Science (USA). All rights reserved.

authors

• Papanikolas, Matthew

published proceedings

• JOURNAL OF NUMBER THEORY

author list (cited authors)

• Papanikolas, M. A., & Ramachandran, N.

citation count

• 8

complete list of authors

• Papanikolas, MA||Ramachandran, N

publication date

• February 2003

publisher

• Elsevier  Publisher

published in

• Journal of Number Theory  Journal

keywords

• Drinfeld Modules
• Extensions
• T-modules

Digital Object Identifier (DOI)

• 10.1016/S0022-314X(02)00047-1

start page

• 407

end page

• 431

volume

• 98

issue

• 2

URL

• http://dx.doi.org/10.1016/s0022-314x(02)00047-1