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arXiv · 2404.03942

Higher order embeddings via the basepoint-freeness threshold

Federico Caucci
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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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Federico Caucci. 2024-04-05. Higher order embeddings via the basepoint-freeness threshold. https://arxiv.org/abs/2404.03942

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