Higher order embeddings via the basepoint-freeness threshold

Caucci, Federico

doi:10.1090/proc/16901

Higher order embeddings via the basepoint-freeness threshold
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by Federico Caucci;

Proc. Amer. Math. Soc. 152 (2024), 3623-3628

DOI: https://doi.org/10.1090/proc/16901

Published electronically: July 17, 2024

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Abstract:

In this note, we relate the basepoint-freeness threshold of a polarized abelian variety, introduced by Jiang and Pareschi, with $k$-jet very ampleness. Then, we derive several applications of this fact, including a criterion for the $k$-very ampleness of Kummer varieties.

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