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SUMMARY:Cecília Salgado (Federal University of Rio de Janeiro (UFRJ))
DTSTART:20200624T183000Z
DTEND:20200624T200000Z
DTSTAMP:20260423T021704Z
UID:BRAG/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BRAG/10/">Mo
 rdell-Weil rank jumps and the Hilbert property</a>\nby Cecília Salgado (F
 ederal University of Rio de Janeiro (UFRJ)) as part of Brazilian algebraic
  geometry seminar\n\n\nAbstract\nLet X be an elliptic surface with a secti
 on defined over a number field. Specialization theorems by Néron and Silv
 erman imply that the rank of the Mordell-Weil group of special fibers is a
 t least equal to the MW rank of the generic fiber. We say that the rank ju
 mps when the former is strictly larger than the latter. In this talk\, I w
 ill discuss rank jumps for elliptic surfaces fibred over the projective li
 ne. If the surface admits a conic bundle we show that the subset of the li
 ne for which the rank jumps is not thin in the sense of Serre. This is joi
 nt work with Dan Loughran (Bath).\n\nLink for the google meet will be post
 ed here a few days before the talk.\n
LOCATION:https://researchseminars.org/talk/BRAG/10/
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