论文标题

Syzygies的P形式

P-Forms from Syzygies

论文作者

Muniz, Alan

论文摘要

这些注释旨在开发一种工具,用于通过均匀理想的共同构建在规定的基因座上消失的多项式差异$ p $ forms。通过在Macaulay2中实现此方法提供了示例,尤其是$ \ Mathbb {p}^3 $ in Instanton捆绑费用$ 4 $和$ 5 $。

These notes aim to develop a tool for constructing polynomial differential $p$-forms vanishing on prescribed loci through syzygies of homogeneous ideals. Examples are provided through implementing this method in Macaulay2, particularly examples of instanton bundles of charges $4$ and $5$ on $\mathbb{P}^3$ that arise in this construction.

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