Fonction zêta des hauteurs des variétés toriques non déployées

Abstract : We investigate the anticanonical height zeta function of a (non necessarily split) toric variety defined over a global field of positive characteristic, drawing our inspiration from the method used by Batyrev and Tschinkel to deal with the analogous problem over a number field. By the way, we give a detailed account of their method.
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David Bourqui. Fonction zêta des hauteurs des variétés toriques non déployées. American Mathematical Society, pp.vii-151, 2011, Memoirs of the American Mathematical Society volume 211 n° 994, 978-0-8218-4936-1. 〈10.1090/S0065-9266-2010-00609-4〉. 〈hal-00004037v2〉

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