Título:
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Characteristic ideals and Selmer groups
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Autor/a:
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Bandini, Andrea; Bars Cortina, Francesc; Longhi, Ignazio
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Abstract:
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Let A be an abelian variety defined over a global field F of positive characteristic p and let F/F be a ZpN-extension, unramified outside a finite set of places of F. Assuming that all ramified places are totally ramified, we define a pro-characteristic ideal associated to the Pontrjagin dual of the p-primary Selmer group of A. To do this we first show the relation between the characteristic ideals of duals of Selmer groups for a Zpd-extension Fd/F and for any Zpd-1-extension contained in Fd, and then use a limit process. Finally, we give an application to an Iwasawa Main Conjecture for the non-noetherian commutative Iwasawa algebra Zp[[Gal(F/F)]] in the case A is a constant abelian variety. |
Materia(s):
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-Characteristic ideals -Iwasawa theory -Selmer groups |
Derechos:
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open access
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Tipo de documento:
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Article |
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Uri:
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https://ddd.uab.cat/record/240662
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