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A Weil-Barsotti formula for Drinfeld modules | | Matthew A. Papanikolas
; Niranjan Ramachandran
; | | Date: |
20 Jul 2001 | | Journal: | J. Number Theory 98 (2003), 407-431 | | Subject: | Algebraic Geometry; Number Theory MSC-class: 11G09 | math.AG math.NT | | 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. | | Source: | arXiv, math.AG/0107150 | | Services: | Forum | Review | PDF | Favorites | |
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