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Transcendental Brauer elements via descent on elliptic surfaces

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 نشر من قبل Bianca Viray
 تاريخ النشر 2012
  مجال البحث
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 تأليف Bianca Viray




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Transcendental Brauer elements are notoriously difficult to compute. Work of Wittenberg, and later, Ieronymou, gives a method for computing 2-torsion transcendental classes on surfaces that have a genus 1 fibration with rational 2-torsion in the Jacobian fibration. We use ideas from a descent paper of Poonen and Schaefer to remove this assumption on the rational 2-torsion.



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