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arXiv · 2511.12994

Vanishing of weight one syzygies of projective varieties

Debjit Basu
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Abstract

In this article we study conditions under which weight one Koszul cohomology vanishes on projective varieties. As corollary of more general results, we obtain statements on the so-called property (M_q) reflecting on the higher syzygies of minimal surfaces and higher dimensional projective varieties. By considering both properties (M_q) and (N_p), we gain a significantly deeper understanding of the minimal free resolution.

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Debjit Basu. 2025-11-17. Vanishing of weight one syzygies of projective varieties. https://arxiv.org/abs/2511.12994

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