STNB 2016 (30th edition)
Jacobians of Mumford curves. A new perspective for generalizations.
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Abstract
Jacobians of Mumford curves are classical objects well known over $p$-adic fields since the book on Schottky groups and theta functions by Gerritzen and van der Put and the paper by Manin and Drinfeld. More recently, Darmon, Longhi and Dasgupta, between others, gave a new construction by means of multiplicative integrals. We use this new approach with the tools of Berkovich analytic theory to remake the construction over any complete non-archimedean field.
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