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<p>In this paper, we count the number of aCM vector bundles with a toric structure on the Veronese surface, up to a twist by hyperplane divisor class. The main ingredients are the equivalence introduced by A. A. Klyachko between toric vector bundles and certain decreasing filtrations, together with a combinatorial criterion for the vanishing of cohomology derived from this framework.</p>

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Counting aCM Toric Bundles of Rank Two on the Veronese Surface

  • 期刊论文

  • 发表日期：

    2025年9月11日

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  • Yeonjae Hong,
  • Sukmoon Huh

摘要

In this paper, we count the number of aCM vector bundles with a toric structure on the Veronese surface, up to a twist by hyperplane divisor class. The main ingredients are the equivalence introduced by A. A. Klyachko between toric vector bundles and certain decreasing filtrations, together with a combinatorial criterion for the vanishing of cohomology derived from this framework.