Publications [#167241] of Shahed Sharif

Papers Submitted

1. S. Sharif, Period and index of genus one curves over number fields, Mathematische Annalen (Spring, 2009), ISSN 0025-5831 [pdf]
   (last updated on 2009/12/17)

   Abstract:
   The period of a curve is the smallest positive degree of Galois-invariant divisor classes. The index is the smallest positive degree of rational divisors. We construct examples of genus one curves with prescribed period and index over a given number field.