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Infinitesimal Castelnuovo Theory in Abelian Varieties

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 نشر من قبل Mart\\'i Lahoz
 تاريخ النشر 2021
  مجال البحث
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 تأليف Marti Lahoz




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The purpose of this article is to show that the Castelnuovo theory for abelian varieties, developed by G. Pareschi and M. Popa, can be infinitesimalized. More precisely, we prove that an irreducible principally polarized abelian variety has a finite scheme in extremal position, in the sense of Castelnuovo theory for abelian varieties, if, and only if, it is a Jacobian and the scheme is contained in a unique Abel-Jacobi curve.



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