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Higher syzygies on general polarized Abelian varieties of type (1,⋯,1,d)$(1,\dots ,1,d)$

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  • Atsushi Ito

Abstract

In this paper, we show that a general polarized abelian variety (X,L)$(X,L)$ of type (1,⋯,1,d)$(1,\dots ,1,d)$ and dimension g satisfies property (Np)$(N_p)$ if d≥∑i=0g(p+2)i$ d \ge \sum _{i=0}^{g} (p+2)^i$. In particular, the case p=0$p=0$ affirmatively solves a conjecture by Fuentes García on projective normality.

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  • Atsushi Ito, 2023. "Higher syzygies on general polarized Abelian varieties of type (1,⋯,1,d)$(1,\dots ,1,d)$," Mathematische Nachrichten, Wiley Blackwell, vol. 296(8), pages 3395-3410, August.
    • Handle: RePEc:bla:mathna:v:296:y:2023:i:8:p:3395-3410
    DOI: 10.1002/mana.202100113
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