A generalization of the Castelnuovo-de Franchis inequality

• Victor González-Alonso ^[1]
  1. [1] University of Hannover

     University of Hannover

     Region Hannover, Alemania

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 15, Nº Extra 1 (Special volume), 2016, págs. 173-182
• Idioma: inglés
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• Resumen

  • In this article we give a lower bound on h2,0 (X), where X is an irregular compact Kähler (or smooth complex projective) variety, in terms of the minimal rank of an element in the kernel of As a consequence, we obtain a generalization to higher dimensions of the Castelnuovode Franchis inequality for surfaces, improving some results of Lazarsfeld and Popa and Lombardi for threefolds and fourfolds.