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Bertini and Northcott

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 نشر من قبل Widmer Martin
 تاريخ النشر 2020
  مجال البحث
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We prove a new Bertini-type Theorem with explicit control of the genus, degree, height, and the field of definition of the constructed curve. As a consequence we provide a general strategy to reduce certain height and rank estimates on abelian varieties over a number field $K$ to the case of jacobian varieties defined over a suitable extension of $K$.



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