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arXiv · 2509.00844

The Geometric Syzygy Conjecture in Positive Characteristic

Michael Kemeny·Peter Yi Wei
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Abstract

We show the geometric syzygy conjecture in positive characteristic. Specifically, if C is a general smooth curve of genus g defined over an algebraically closed field of characteristic p, then all linear syzygy spaces are spanned by syzygies of minimal rank provided p is at least 2g-4.

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Michael Kemeny, Peter Yi Wei. 2025-08-31. The Geometric Syzygy Conjecture in Positive Characteristic. https://arxiv.org/abs/2509.00844

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