A structure theorem for syzygies of del Pezzo varieties
Algebraic Geometry
2024-06-04 v1 Commutative Algebra
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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Cite
@article{arxiv.2406.00400,
title = {A structure theorem for syzygies of del Pezzo varieties},
author = {Yeongrak Kim},
journal= {arXiv preprint arXiv:2406.00400},
year = {2024}
}
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15 pages