A Weil-Barsotti formula for Drinfeld modules
代数几何
2015-06-29 v2 数论
摘要
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.
引用
@article{arxiv.math/0107150,
title = {A Weil-Barsotti formula for Drinfeld modules},
author = {Matthew A. Papanikolas and Niranjan Ramachandran},
journal= {arXiv preprint arXiv:math/0107150},
year = {2015}
}
备注
20 pages, latex file. To appear in Journal of Number Theory