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The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic Geometry and Coding Theory"
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Around the Property (B) for fields of algebraic numbers A. Galato |
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Abstract: The Bogomolov Property arose after Amoroso and Dvornicich gave a sharp lower bound for the height on the abelian closure of the rationals. It is related to a relative (and stronger) version of the Lehmer problem, which has applications towards ambitious conjectures in arithmetic geometry. Interesting examples of fields with this Property have been found recently. I will describe these results and try to say a word about the proofs. |
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