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.
Higher order embeddings via the base point-freeness threshold / Caucci, F.. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 152:9(2024), pp. 3623-3628. [10.1090/proc/16901]
Higher order embeddings via the base point-freeness threshold
Caucci F.
2024
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.File allegati a questo prodotto
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