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arXiv · 2212.11845

P-Forms from Syzygies

Alan Muniz
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Abstract

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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Alan Muniz. 2022-12-22. P-Forms from Syzygies. https://doi.org/10.13137/2464-8728%2F37300

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