A Weil–Barsotti formula for Drinfeld modules Academic Article uri icon

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.

author list (cited authors)

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

citation count

  • 7

publication date

  • February 2003