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Gras-Type Conjectures Fattitle for Function Fields |
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| Authors: | Cristian D Popescu |
| Institution: | (1) Department of Mathematics, University of Texas at Austin, Austin, TX, 78712-1082, USA; e-mail |
| Abstract: | Based on results obtained in 15], we construct groups of special S-units for function fields of characteristic p>0, and show that they satisfy Gras-type Conjectures. We use these results in order to give a new proof of Chinburg's  3-Conjecture on the Galois module structure of the group of S-units, for cyclic extensions of prime degree of function fields. |
| Keywords: | Special values of abelian L-functions units class groups characteristic p global fields Chinburg's |
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