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Cohomological support loci and Pluricanonical systems on irregular varieties

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 نشر من قبل Zhi Jiang
 تاريخ النشر 2021
  مجال البحث
والبحث باللغة English
 تأليف Zhi Jiang




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For an irregular variety $X$ of general type, we show that if a general fiber $F$ of the Albanese morphism of $X$ satisfies certain Hodge theoretic condition, the $0$-th cohomological support loci of $K_X$ generates the Picard variety of $X$ . We then show that the condition that the $0$-th cohomological support loci of $K_X$ generates the Picard variety of $X$ can often be applied to prove the birationality of certain pluricanonical maps of $X$.

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