Scholarlink

<p>We establish precise nonvanishing results for asymptotic syzygies of smooth projective varieties. This refines Ein–Lazarsfeld’s asymptotic nonvanishing theorem. Combining with the author’s previous asymptotic vanishing result, we completely determine the asymptotic shapes of the minimal free resolutions of the graded section modules of a line bundle on a smooth projective variety as the positivity of the embedding line bundle grows.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Asymptotic nonvanishing of syzygies of algebraic varieties

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年2月17日

查看全文
  • Jinhyung Park

摘要

We establish precise nonvanishing results for asymptotic syzygies of smooth projective varieties. This refines Ein–Lazarsfeld’s asymptotic nonvanishing theorem. Combining with the author’s previous asymptotic vanishing result, we completely determine the asymptotic shapes of the minimal free resolutions of the graded section modules of a line bundle on a smooth projective variety as the positivity of the embedding line bundle grows.