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arXiv · 2406.00400

A structure theorem for syzygies of del Pezzo varieties

Yeongrak Kim
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Abstract

Using the Buchsbaum-Eisenbud structure theorem for a minimal free resolution of an arithmetically Gorenstein variety, we describe a structure theorem for the highest linear syzygies among quadrics defining a del Pezzo variety. Indeed, such syzygies can be represented as columns of a skew-symmetric matrix whose entries are wedge products of linear forms.

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Yeongrak Kim. 2024-06-01. A structure theorem for syzygies of del Pezzo varieties. https://arxiv.org/abs/2406.00400

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