Mumford curves and Mumford groups in positive characteristic
نویسندگان
چکیده
منابع مشابه
Positive Characteristic Manin-mumford Theorem
We present the details of a model theoretic proof of an analogue of the Manin-Mumford conjecture for semiabelian varieties in positive characteristic. As a by-product of the proof we reduce the general positive characteristic Mordell-Lang problem to a question about purely inseparable points on subvarieties of semiabelian varieties.
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Mumford showed that Schottky subgroups of PGL(2,K) give rise to certain curves, now called Mumford curves, over a non-archimedean field K. Such curves are foundational to subjects dealing with nonarchimedean varieties, including Berkovich theory and tropical geometry. We develop and implement numerical algorithms for Mumford curves over the field of p-adic numbers. A crucial and difficult step ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2019
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2018.09.036