Infinitesimal Castelnuovo Theory in Abelian Varieties - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: The purpose of this article is to show that the Castelnuovo theory forabelian varieties, developed by G. Pareschi and M. Popa, can beinfinitesimalized. More precisely, we prove that an irreducible principallypolarized abelian variety has a finite scheme in extremal position, in thesense of Castelnuovo theory for abelian varieties, if, and only if, it is aJacobian and the scheme is contained in a unique Abel-Jacobi curve.



Author: Marti Lahoz

Source: https://arxiv.org/



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