$p$-Adic Tate Conjectures and Abeloid Varieties
Documenta mathematica, Tome 24 (2019), pp. 1879-1934
We explore Tate-type conjectures over p-adic fields, especially a conjecture of W. Raskind [in: Algebra and number theory. Proceedings of the silver jubilee conference, Hyderabad, India, December 11–16, 2003. New Delhi: Hindustan Book Agency. 99–115 (2005; Zbl 1085.14009)] that predicts the surjectivity of
Classification :
11F80, 14C22, 14F30, 14K02
Mots-clés : p-adic Hodge theory, Tate conjecture, abelian and abeloid varieties, p-adic fields and p-adic uniformisation, filtered (φ,N)-module, totally degenerate reduction
Mots-clés : p-adic Hodge theory, Tate conjecture, abelian and abeloid varieties, p-adic fields and p-adic uniformisation, filtered (φ,N)-module, totally degenerate reduction
@article{10_4171_dm_718,
author = {Oliver Gregory and Christian Liedtke},
title = {$p${-Adic} {Tate} {Conjectures} and {Abeloid} {Varieties}},
journal = {Documenta mathematica},
pages = {1879--1934},
year = {2019},
volume = {24},
doi = {10.4171/dm/718},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/718/}
}
Oliver Gregory; Christian Liedtke. $p$-Adic Tate Conjectures and Abeloid Varieties. Documenta mathematica, Tome 24 (2019), pp. 1879-1934. doi: 10.4171/dm/718
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