Math @ Duke

Publications [#167241] of Shahed Sharif
Papers Submitted
 S. Sharif, Period and index of genus one curves over number fields,
Mathematische Annalen
(Spring, 2009), ISSN 00255831 [pdf]
(last updated on 2009/12/17)
Abstract: The period of a curve is the smallest positive degree of Galoisinvariant 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.


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