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On a Theorem of Ziv Ran concerning Abelian Varieties Which Are Product of Jacobians

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  • Cristian Anghel
  • Nicolae Buruiana

Abstract

We give a new proof for a theorem of Ziv Ran which generalizes some results of Matsusaka and Hoyt. These results provide criteria for an Abelian variety to be a Jacobian or a product of Jacobians. The advantage of our method is that it works in arbitrary characteristic.

Suggested Citation

  • Cristian Anghel & Nicolae Buruiana, 2015. "On a Theorem of Ziv Ran concerning Abelian Varieties Which Are Product of Jacobians," Journal of Mathematics, Hindawi, vol. 2015, pages 1-5, October.
    • Handle: RePEc:hin:jjmath:431098
    DOI: 10.1155/2015/431098
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