Higher order embeddings via the basepoint-freeness threshold

IF 0.8 3区数学 Q2 MATHEMATICS

Proceedings of the American Mathematical Society Pub Date : 2024-05-01 DOI:10.1090/proc/16901

Federico Caucci

引用次数: 0

Abstract

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

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通过基点无阈值实现高阶嵌入

在本论文中，我们将江（Jiang）和帕雷希（Pareschi）提出的极化无性无基点阈值与 k k -jet 非常振幅性联系起来。然后，我们推导出这一事实的若干应用，包括库默尔变项 k k -非常振幅的判据。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Proceedings of the American Mathematical Society 数学-数学

CiteScore

1.70

自引率

10.00%

发文量

207

审稿时长

2-4 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to shorter research articles (not to exceed 15 printed pages) in all areas of pure and applied mathematics. To be published in the Proceedings, a paper must be correct, new, and significant. Further, it must be well written and of interest to a substantial number of mathematicians. Piecemeal results, such as an inconclusive step toward an unproved major theorem or a minor variation on a known result, are in general not acceptable for publication. Longer papers may be submitted to the Transactions of the American Mathematical Society. Published pages are the same size as those generated in the style files provided for AMS-LaTeX.