A Weil-Barsotti formula for Drinfeld modules

Details A Weil-Barsotti formula for Drinfeld modules A Weil-Barsotti formula for Drinfeld modules

2001-07-20

arxiv.org/abs/math/0107150v2

J. Number Theory 98 (2003), 407-431

Mathematics

Algebraic Geometry

20 pages, latex file. To appear in Journal of Number Theory

Scientific paper

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.

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