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A Weil-Barsotti formula for Drinfeld modules |
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| Authors: | Matthew A Papanikolas Niranjan Ramachandran |
| Institution: | a Department of Mathematics, Brown University, Providence, RI 02912, USA b Department of Mathematics, University of Maryland, College Park, MD 20742, USA c Max-Planck-Institut für Mathematik, Vivatsgasse 7, D-53111 Bonn, Germany |
| 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. |
| Keywords: | 11G09 |
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